What is the Greatest Common Factor of 56870 and 56880?

Greatest common factor (GCF) of 56870 and 56880 is 10.

GCF(56870,56880) = 10

We will now calculate the prime factors of 56870 and 56880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56870 and 56880.

How to find the GCF of 56870 and 56880?

We will first find the prime factorization of 56870 and 56880. After we will calculate the factors of 56870 and 56880 and find the biggest common factor number .

Step-1: Prime Factorization of 56870

Prime factors of 56870 are 2, 5, 11, 47. Prime factorization of 56870 in exponential form is:

56870 = 2¹ × 5¹ × 11² × 47¹

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 56870

List of positive integer factors of 56870 that divides 56870 without a remainder.

1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 121, 235, 242, 470, 517, 605, 1034, 1210, 2585, 5170, 5687, 11374, 28435

Step-4: Factors of 56880

List of positive integer factors of 56880 that divides 56870 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 56870 and 56880. The biggest common factor number is the GCF number.
So the greatest common factor 56870 and 56880 is 10.

Also check out the Least Common Multiple of 56870 and 56880