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What is the GCF of 505 and 1050?

The gcf of 505 and 1050 is 5.

Steps to find GCF

  1. Find the prime factorization of 505
    505 = 5 × 101
  2. Find the prime factorization of 1050
    1050 = 2 × 3 × 5 × 5 × 7
  3. To find the gcf, multiply all the prime factors common to both numbers:

    Therefore, GCF = 5

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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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