Solutions by » GCF of two numbers

What is the GCF of 9008 and 7187?

The GCF of 9008 and 7187 is 1.

Steps to find GCF

  1. Find the prime factorization of 9008
    9008 = 2 × 2 × 2 × 2 × 563
  2. Find the prime factorization of 7187
    7187 = 7187
  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).