Solutions by » GCF of two numbers

What is the GCF of 4506 and 9723?

The GCF of 4506 and 9723 is 3.

Steps to find GCF

  1. Find the prime factorization of 4506
    4506 = 2 × 3 × 751
  2. Find the prime factorization of 9723
    9723 = 3 × 7 × 463
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 3

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