What is the Greatest Common Factor of 56700 and 56714?

Greatest common factor (GCF) of 56700 and 56714 is 14.

GCF(56700,56714) = 14

We will now calculate the prime factors of 56700 and 56714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56700 and 56714.

How to find the GCF of 56700 and 56714?

We will first find the prime factorization of 56700 and 56714. After we will calculate the factors of 56700 and 56714 and find the biggest common factor number .

Step-1: Prime Factorization of 56700

Prime factors of 56700 are 2, 3, 5, 7. Prime factorization of 56700 in exponential form is:

56700 = 2² × 3⁴ × 5² × 7¹

Step-2: Prime Factorization of 56714

Prime factors of 56714 are 2, 7, 4051. Prime factorization of 56714 in exponential form is:

56714 = 2¹ × 7¹ × 4051¹

Step-3: Factors of 56700

List of positive integer factors of 56700 that divides 56700 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 27, 28, 30, 35, 36, 42, 45, 50, 54, 60, 63, 70, 75, 81, 84, 90, 100, 105, 108, 126, 135, 140, 150, 162, 175, 180, 189, 210, 225, 252, 270, 300, 315, 324, 350, 378, 405, 420, 450, 525, 540, 567, 630, 675, 700, 756, 810, 900, 945, 1050, 1134, 1260, 1350, 1575, 1620, 1890, 2025, 2100, 2268, 2700, 2835, 3150, 3780, 4050, 4725, 5670, 6300, 8100, 9450, 11340, 14175, 18900, 28350

Step-4: Factors of 56714

List of positive integer factors of 56714 that divides 56700 without a remainder.

1, 2, 7, 14, 4051, 8102, 28357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56700 and 56714. The biggest common factor number is the GCF number.
So the greatest common factor 56700 and 56714 is 14.

Also check out the Least Common Multiple of 56700 and 56714