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What is the GCF of 5338 and 3677?

The GCF of 5338 and 3677 is 1.

Steps to find GCF

  1. Find the prime factorization of 5338
    5338 = 2 × 17 × 157
  2. Find the prime factorization of 3677
    3677 = 3677
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Note that there are no common prime factors.
  4. Therefore, GCF = 1 (since 1 is a factor of every number)

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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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