What is the Greatest Common Factor of 56700 and 56704?

Greatest common factor (GCF) of 56700 and 56704 is 4.

GCF(56700,56704) = 4

We will now calculate the prime factors of 56700 and 56704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56700 and 56704.

How to find the GCF of 56700 and 56704?

We will first find the prime factorization of 56700 and 56704. After we will calculate the factors of 56700 and 56704 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 56704

Prime factors of 56704 are 2, 443. Prime factorization of 56704 in exponential form is:

56704 = 2⁷ × 443¹

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 56704

List of positive integer factors of 56704 that divides 56700 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 443, 886, 1772, 3544, 7088, 14176, 28352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56700 and 56704. The biggest common factor number is the GCF number.
So the greatest common factor 56700 and 56704 is 4.

Also check out the Least Common Multiple of 56700 and 56704