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What is the GCF of 1500 and 3400?

The gcf of 1500 and 3400 is 100.

Steps to find GCF

  1. Find the prime factorization of 1500
    1500 = 2 × 2 × 3 × 5 × 5 × 5
  2. Find the prime factorization of 3400
    3400 = 2 × 2 × 2 × 5 × 5 × 17
  3. To find the gcf, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2 × 2 × 5 × 5
  4. GCF = 100

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

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