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What is the GCF of 36 and 18?

The gcf of 36 and 18 is 18.

Steps to find GCF

  1. Find the prime factorization of 36
    36 = 2 × 2 × 3 × 3
  2. Find the prime factorization of 18
    18 = 2 × 3 × 3
  3. To find the gcf, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2 × 3 × 3
  4. GCF = 18

The greatest common factor (gcf) is also known as greatest common divisor (gcd) or highest common factor (hcf).

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