what is the greatest common factor of 32 and 48

The GCF of 32 and 48 The GCF of 32 and 48 is the largest number that can be divided by 32 and 48 exactly without a remainder. The factors 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 three commonly used methods. to find the GCF of 32 and 48 – long division, Euclidean algorithm and prime factorization. 1. GCF of 32 and 48 2. List of methods 3. Solved examples 4. FAQAnswer: The GCF of 32 and 48 is 16. Read: what is the greatest common factor of 32 and 48 Explanation: Read more: What is ‘Bloom’ in Fortnite? The GCF of two non-zero integers 0, x (32) and y (48 ), is the largest positive integer m (16) that divides both x (32) and y (48 ) without any remainder. Let’s see the different methods to find the GCF of 32 and 48.

  • Using Euclidean algorithm
  • The prime factorization method
  • List common factors

GCF of 32 and 48 according to Euclidean Algorithm

According to Euclid Algorithm, GCF(X, Y) = GCF(Y, X mod Y) where X > Y and mod is the modulo operator. 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 |, where X ≠ 0)

Read more: What is deviance in American football Therefore, the GCF value of 32 and 48 is 16.

GCF of 32 and 48 in prime factors

GCF of 32 and 48 in prime factorsThe primes of 32 and 48 are (2 × 2 × 2 × 2 × 2) and (2 × 2 × 2 × 2 × 3), respectively. As can be seen, 32 and 48 share the same prime factors. Therefore, the GCF of 32 and 48 is 2 × 2 × 2 × 2 = 16.

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GCF of 32 and 48 according to List of Common Factors

GCF of 32 and 48 according to List of Common Factors

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

There are 5 common factors of 32 and 48, which are 1, 2, 4, 8 and 16. Therefore, the greatest common factor of 32 and 48 is 16.☛ Also check:Read more: what is the net worth of pooh shiesty | Top Q&A

  • 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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