What is the Greatest Common Factor of 56700 and 56715?

Greatest common factor (GCF) of 56700 and 56715 is 15.

GCF(56700,56715) = 15

We will now calculate the prime factors of 56700 and 56715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56700 and 56715.

How to find the GCF of 56700 and 56715?

We will first find the prime factorization of 56700 and 56715. After we will calculate the factors of 56700 and 56715 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 56715

Prime factors of 56715 are 3, 5, 19, 199. Prime factorization of 56715 in exponential form is:

56715 = 3¹ × 5¹ × 19¹ × 199¹

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 56715

List of positive integer factors of 56715 that divides 56700 without a remainder.

1, 3, 5, 15, 19, 57, 95, 199, 285, 597, 995, 2985, 3781, 11343, 18905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56700 and 56715. The biggest common factor number is the GCF number.
So the greatest common factor 56700 and 56715 is 15.

Also check out the Least Common Multiple of 56700 and 56715