Solutions by » GCF of two numbers

What is the GCF of 2071 and 4047?

The GCF of 2071 and 4047 is 19.

Steps to find GCF

  1. Find the prime factorization of 2071
    2071 = 19 × 109
  2. Find the prime factorization of 4047
    4047 = 3 × 19 × 71
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 19

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