GCF the 20 and 32 is the largest feasible number the divides 20 and also 32 exactly without any remainder. The components of 20 and also 32 space 1, 2, 4, 5, 10, 20 and 1, 2, 4, 8, 16, 32 respectively. There space 3 frequently used approaches to find the GCF the 20 and 32 - element factorization, Euclidean algorithm, and long division.

You are watching: Greatest common factor of 20 and 32

1.GCF the 20 and 32
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 20 and 32 is 4.

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Explanation:

The GCF of two non-zero integers, x(20) and y(32), is the greatest positive essence m(4) the divides both x(20) and also y(32) without any type of remainder.


The techniques to uncover the GCF that 20 and 32 are described below.

Prime administer MethodListing common FactorsLong division Method

GCF the 20 and 32 by element Factorization

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Prime factorization of 20 and also 32 is (2 × 2 × 5) and also (2 × 2 × 2 × 2 × 2) respectively. Together visible, 20 and also 32 have common prime factors. Hence, the GCF of 20 and also 32 is 2 × 2 = 4.

GCF the 20 and also 32 by Listing typical Factors

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Factors that 20: 1, 2, 4, 5, 10, 20Factors that 32: 1, 2, 4, 8, 16, 32

There space 3 typical factors the 20 and 32, that room 1, 2, and 4. Therefore, the greatest usual factor the 20 and 32 is 4.

GCF the 20 and also 32 by long Division

GCF the 20 and also 32 is the divisor the we gain when the remainder becomes 0 ~ doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of step 1 (20) by the remainder (12).Step 3: Repeat this process until the remainder = 0.

The equivalent divisor (4) is the GCF the 20 and 32.

☛ also Check:


GCF of 20 and also 32 Examples


Example 1: For 2 numbers, GCF = 4 and LCM = 160. If one number is 32, find the other number.

Solution:

Given: GCF (x, 32) = 4 and also LCM (x, 32) = 160∵ GCF × LCM = 32 × (x)⇒ x = (GCF × LCM)/32⇒ x = (4 × 160)/32⇒ x = 20Therefore, the other number is 20.


Example 2: discover the greatest number that divides 20 and 32 exactly.

Solution:

The best number the divides 20 and 32 precisely is your greatest common factor, i.e. GCF that 20 and also 32.⇒ components of 20 and 32:

Factors that 20 = 1, 2, 4, 5, 10, 20Factors of 32 = 1, 2, 4, 8, 16, 32

Therefore, the GCF the 20 and also 32 is 4.


Example 3: find the GCF that 20 and 32, if their LCM is 160.

Solution:

∵ LCM × GCF = 20 × 32⇒ GCF(20, 32) = (20 × 32)/160 = 4Therefore, the greatest common factor the 20 and also 32 is 4.


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FAQs on GCF that 20 and also 32

What is the GCF that 20 and also 32?

The GCF of 20 and 32 is 4. To calculate the greatest typical factor (GCF) that 20 and 32, we need to factor each number (factors of 20 = 1, 2, 4, 5, 10, 20; determinants of 32 = 1, 2, 4, 8, 16, 32) and also choose the greatest aspect that exactly divides both 20 and also 32, i.e., 4.

How to uncover the GCF that 20 and 32 through Long department Method?

To discover the GCF that 20, 32 making use of long department method, 32 is split by 20. The equivalent divisor (4) when remainder equals 0 is taken as GCF.

How to discover the GCF the 20 and 32 by prime Factorization?

To uncover the GCF the 20 and 32, us will find the prime factorization the the given numbers, i.e. 20 = 2 × 2 × 5; 32 = 2 × 2 × 2 × 2 × 2.⇒ due to the fact that 2, 2 are usual terms in the prime factorization that 20 and also 32. Hence, GCF(20, 32) = 2 × 2 = 4☛ element Number

What is the Relation between LCM and also GCF of 20, 32?

The complying with equation deserve to be supplied to refer the relation in between Least typical Multiple (LCM) and GCF of 20 and 32, i.e. GCF × LCM = 20 × 32.

What space the approaches to uncover GCF the 20 and 32?

There space three frequently used approaches to discover the GCF the 20 and 32.

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By long DivisionBy element FactorizationBy Euclidean Algorithm

If the GCF of 32 and also 20 is 4, uncover its LCM.

GCF(32, 20) × LCM(32, 20) = 32 × 20Since the GCF the 32 and also 20 = 4⇒ 4 × LCM(32, 20) = 640Therefore, LCM = 160☛ GCF Calculator