What is the Greatest Common Factor of 56700 and 56716?

Greatest common factor (GCF) of 56700 and 56716 is 4.

GCF(56700,56716) = 4

We will now calculate the prime factors of 56700 and 56716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56700 and 56716.

How to find the GCF of 56700 and 56716?

We will first find the prime factorization of 56700 and 56716. After we will calculate the factors of 56700 and 56716 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 56716

Prime factors of 56716 are 2, 11, 1289. Prime factorization of 56716 in exponential form is:

56716 = 2² × 11¹ × 1289¹

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 56716

List of positive integer factors of 56716 that divides 56700 without a remainder.

1, 2, 4, 11, 22, 44, 1289, 2578, 5156, 14179, 28358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56700 and 56716. The biggest common factor number is the GCF number.
So the greatest common factor 56700 and 56716 is 4.

Also check out the Least Common Multiple of 56700 and 56716