What is the Greatest Common Factor of 56744 and 56760?

Greatest common factor (GCF) of 56744 and 56760 is 8.

GCF(56744,56760) = 8

We will now calculate the prime factors of 56744 and 56760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56744 and 56760.

How to find the GCF of 56744 and 56760?

We will first find the prime factorization of 56744 and 56760. After we will calculate the factors of 56744 and 56760 and find the biggest common factor number .

Step-1: Prime Factorization of 56744

Prime factors of 56744 are 2, 41, 173. Prime factorization of 56744 in exponential form is:

56744 = 2³ × 41¹ × 173¹

Step-2: 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-3: Factors of 56744

List of positive integer factors of 56744 that divides 56744 without a remainder.

1, 2, 4, 8, 41, 82, 164, 173, 328, 346, 692, 1384, 7093, 14186, 28372

Step-4: Factors of 56760

List of positive integer factors of 56760 that divides 56744 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56744 and 56760. The biggest common factor number is the GCF number.
So the greatest common factor 56744 and 56760 is 8.

Also check out the Least Common Multiple of 56744 and 56760