what is the greatest common factor of 32 and 48

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GCF of 32 and 48

GCF of 32 and 48 is the biggest doable quantity that divides 32 and 48 precisely with none the rest. The elements of 32 and 48 are 1, 2, 4, 8, 16, 32 and 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There are 3 generally used strategies to seek out the GCF of 32 and 48 – lengthy division, Euclidean algorithm, and prime factorization.

1. GCF of 32 and 48 2. Checklist of Strategies 3. Solved Examples 4. FAQs

Reply: GCF of 32 and 48 is 16.

Studying: what’s the best widespread issue of 32 and 48

GCF of 32 and 48

Clarification:

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The GCF of two non-zero integers, x(32) and y(48), is the best optimistic integer m(16) that divides each x(32) and y(48) with none the rest.

Let us take a look at the completely different strategies for locating the GCF of 32 and 48.

  • Utilizing Euclid’s Algorithm
  • Prime Factorization Technique
  • Itemizing Frequent Components

GCF of 32 and 48 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y) the place X > Y and mod is the modulo operator.

Right here X = 48 and Y = 32

  • GCF(48, 32) = GCF(32, 48 mod 32) = GCF(32, 16)
  • GCF(32, 16) = GCF(16, 32 mod 16) = GCF(16, 0)
  • GCF(16, 0) = 16 (∵ GCF(X, 0) = |X|, the place X ≠ 0)

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Subsequently, the worth of GCF of 32 and 48 is 16.

GCF of 32 and 48 by Prime Factorization

GCF of 32 and 48 by Prime Factorization

Prime factorization of 32 and 48 is (2 × 2 × 2 × 2 × 2) and (2 × 2 × 2 × 2 × 3) respectively. As seen, 32 and 48 have widespread prime elements. Therefore, the GCF of 32 and 48 is 2 × 2 × 2 × 2 = 16.

GCF of 32 and 48 by Itemizing Frequent Components

GCF of 32 and 48 by Listing Common Factors

  • Components of 32: 1, 2, 4, 8, 16, 32
  • Components of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There are 5 widespread elements of 32 and 48, which are 1, 2, 4, 8, and 16. Subsequently, the best widespread issue of 32 and 48 is 16.

☛ Additionally Verify:

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  • GCF of 64 and 80 = 16
  • GCF of 4 and 10 = 2
  • GCF of 64 and 72 = 8
  • GCF of 12 and 30 = 6
  • GCF of 44, 12 and 28 = 4
  • GCF of 64 and 144 = 16
  • GCF of 17 and 51 = 17

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