Solutions by » GCF of two numbers

What is the GCF of 2911 and 6721?

The GCF of 2911 and 6721 is 1.

Steps to find GCF

  1. Find the prime factorization of 2911
    2911 = 41 × 71
  2. Find the prime factorization of 6721
    6721 = 11 × 13 × 47
  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).