What is the Greatest Common Factor of 56686 and 56700?

Greatest common factor (GCF) of 56686 and 56700 is 14.

GCF(56686,56700) = 14

We will now calculate the prime factors of 56686 and 56700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56686 and 56700.

How to find the GCF of 56686 and 56700?

We will first find the prime factorization of 56686 and 56700. After we will calculate the factors of 56686 and 56700 and find the biggest common factor number .

Step-1: Prime Factorization of 56686

Prime factors of 56686 are 2, 7, 4049. Prime factorization of 56686 in exponential form is:

56686 = 2¹ × 7¹ × 4049¹

Step-2: 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-3: Factors of 56686

List of positive integer factors of 56686 that divides 56686 without a remainder.

1, 2, 7, 14, 4049, 8098, 28343

Step-4: Factors of 56700

List of positive integer factors of 56700 that divides 56686 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56686 and 56700. The biggest common factor number is the GCF number.
So the greatest common factor 56686 and 56700 is 14.

Also check out the Least Common Multiple of 56686 and 56700