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What is the GCF of 5238 and 9724?

The GCF of 5238 and 9724 is 2.

Steps to find GCF

  1. Find the prime factorization of 5238
    5238 = 2 × 3 × 3 × 3 × 97
  2. Find the prime factorization of 9724
    9724 = 2 × 2 × 11 × 13 × 17
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2

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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).

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