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What is the GCF of 6750 and 7000?

The gcf of 6750 and 7000 is 250.

Steps to find GCF

  1. Find the prime factorization of 6750
    6750 = 2 × 3 × 3 × 3 × 5 × 5 × 5
  2. Find the prime factorization of 7000
    7000 = 2 × 2 × 2 × 5 × 5 × 5 × 7
  3. To find the gcf, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2 × 5 × 5 × 5
  4. GCF = 250

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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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