What is the Greatest Common Factor of 56862 and 56880?

Greatest common factor (GCF) of 56862 and 56880 is 18.

GCF(56862,56880) = 18

We will now calculate the prime factors of 56862 and 56880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56862 and 56880.

How to find the GCF of 56862 and 56880?

We will first find the prime factorization of 56862 and 56880. After we will calculate the factors of 56862 and 56880 and find the biggest common factor number .

Step-1: Prime Factorization of 56862

Prime factors of 56862 are 2, 3, 13. Prime factorization of 56862 in exponential form is:

56862 = 2¹ × 3⁷ × 13¹

Step-2: Prime Factorization of 56880

Prime factors of 56880 are 2, 3, 5, 79. Prime factorization of 56880 in exponential form is:

56880 = 2⁴ × 3² × 5¹ × 79¹

Step-3: Factors of 56862

List of positive integer factors of 56862 that divides 56862 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 729, 1053, 1458, 2106, 2187, 3159, 4374, 6318, 9477, 18954, 28431

Step-4: Factors of 56880

List of positive integer factors of 56880 that divides 56862 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 79, 80, 90, 120, 144, 158, 180, 237, 240, 316, 360, 395, 474, 632, 711, 720, 790, 948, 1185, 1264, 1422, 1580, 1896, 2370, 2844, 3160, 3555, 3792, 4740, 5688, 6320, 7110, 9480, 11376, 14220, 18960, 28440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56862 and 56880. The biggest common factor number is the GCF number.
So the greatest common factor 56862 and 56880 is 18.

Also check out the Least Common Multiple of 56862 and 56880