What is the Greatest Common Factor of 56760 and 56780?

Greatest common factor (GCF) of 56760 and 56780 is 20.

GCF(56760,56780) = 20

We will now calculate the prime factors of 56760 and 56780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56760 and 56780.

How to find the GCF of 56760 and 56780?

We will first find the prime factorization of 56760 and 56780. After we will calculate the factors of 56760 and 56780 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 56780

Prime factors of 56780 are 2, 5, 17, 167. Prime factorization of 56780 in exponential form is:

56780 = 2² × 5¹ × 17¹ × 167¹

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 56780

List of positive integer factors of 56780 that divides 56760 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 167, 170, 334, 340, 668, 835, 1670, 2839, 3340, 5678, 11356, 14195, 28390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56760 and 56780. The biggest common factor number is the GCF number.
So the greatest common factor 56760 and 56780 is 20.

Also check out the Least Common Multiple of 56760 and 56780