What is the Greatest Common Factor of 56700 and 56712?

Greatest common factor (GCF) of 56700 and 56712 is 12.

GCF(56700,56712) = 12

We will now calculate the prime factors of 56700 and 56712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56700 and 56712.

How to find the GCF of 56700 and 56712?

We will first find the prime factorization of 56700 and 56712. After we will calculate the factors of 56700 and 56712 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 56712

Prime factors of 56712 are 2, 3, 17, 139. Prime factorization of 56712 in exponential form is:

56712 = 2³ × 3¹ × 17¹ × 139¹

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 56712

List of positive integer factors of 56712 that divides 56700 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 139, 204, 278, 408, 417, 556, 834, 1112, 1668, 2363, 3336, 4726, 7089, 9452, 14178, 18904, 28356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56700 and 56712. The biggest common factor number is the GCF number.
So the greatest common factor 56700 and 56712 is 12.

Also check out the Least Common Multiple of 56700 and 56712