What is the Greatest Common Factor of 56700 and 56718?

Greatest common factor (GCF) of 56700 and 56718 is 18.

GCF(56700,56718) = 18

We will now calculate the prime factors of 56700 and 56718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56700 and 56718.

How to find the GCF of 56700 and 56718?

We will first find the prime factorization of 56700 and 56718. After we will calculate the factors of 56700 and 56718 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 56718

Prime factors of 56718 are 2, 3, 23, 137. Prime factorization of 56718 in exponential form is:

56718 = 2¹ × 3² × 23¹ × 137¹

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 56718

List of positive integer factors of 56718 that divides 56700 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 137, 138, 207, 274, 411, 414, 822, 1233, 2466, 3151, 6302, 9453, 18906, 28359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56700 and 56718. The biggest common factor number is the GCF number.
So the greatest common factor 56700 and 56718 is 18.

Also check out the Least Common Multiple of 56700 and 56718