What is the Greatest Common Factor of 56880 and 56894?

Greatest common factor (GCF) of 56880 and 56894 is 2.

GCF(56880,56894) = 2

We will now calculate the prime factors of 56880 and 56894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56880 and 56894.

How to find the GCF of 56880 and 56894?

We will first find the prime factorization of 56880 and 56894. After we will calculate the factors of 56880 and 56894 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56894

Prime factors of 56894 are 2, 28447. Prime factorization of 56894 in exponential form is:

56894 = 2¹ × 28447¹

Step-3: Factors of 56880

List of positive integer factors of 56880 that divides 56880 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

Step-4: Factors of 56894

List of positive integer factors of 56894 that divides 56880 without a remainder.

1, 2, 28447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56880 and 56894. The biggest common factor number is the GCF number.
So the greatest common factor 56880 and 56894 is 2.

Also check out the Least Common Multiple of 56880 and 56894