What is the Greatest Common Factor of 56760 and 56764?

Greatest common factor (GCF) of 56760 and 56764 is 4.

GCF(56760,56764) = 4

We will now calculate the prime factors of 56760 and 56764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56760 and 56764.

How to find the GCF of 56760 and 56764?

We will first find the prime factorization of 56760 and 56764. After we will calculate the factors of 56760 and 56764 and find the biggest common factor number .

Step-1: Prime Factorization of 56760

Prime factors of 56760 are 2, 3, 5, 11, 43. Prime factorization of 56760 in exponential form is:

56760 = 2³ × 3¹ × 5¹ × 11¹ × 43¹

Step-2: Prime Factorization of 56764

Prime factors of 56764 are 2, 23, 617. Prime factorization of 56764 in exponential form is:

56764 = 2² × 23¹ × 617¹

Step-3: Factors of 56760

List of positive integer factors of 56760 that divides 56760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 43, 44, 55, 60, 66, 86, 88, 110, 120, 129, 132, 165, 172, 215, 220, 258, 264, 330, 344, 430, 440, 473, 516, 645, 660, 860, 946, 1032, 1290, 1320, 1419, 1720, 1892, 2365, 2580, 2838, 3784, 4730, 5160, 5676, 7095, 9460, 11352, 14190, 18920, 28380

Step-4: Factors of 56764

List of positive integer factors of 56764 that divides 56760 without a remainder.

1, 2, 4, 23, 46, 92, 617, 1234, 2468, 14191, 28382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56760 and 56764. The biggest common factor number is the GCF number.
So the greatest common factor 56760 and 56764 is 4.

Also check out the Least Common Multiple of 56760 and 56764