What is the Greatest Common Factor of 56880 and 56899?

Greatest common factor (GCF) of 56880 and 56899 is 1.

GCF(56880,56899) = 1

We will now calculate the prime factors of 56880 and 56899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56880 and 56899.

How to find the GCF of 56880 and 56899?

We will first find the prime factorization of 56880 and 56899. After we will calculate the factors of 56880 and 56899 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 56899

Prime factors of 56899 are 17, 3347. Prime factorization of 56899 in exponential form is:

56899 = 17¹ × 3347¹

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 56899

List of positive integer factors of 56899 that divides 56880 without a remainder.

1, 17, 3347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56880 and 56899. The biggest common factor number is the GCF number.
So the greatest common factor 56880 and 56899 is 1.

Also check out the Least Common Multiple of 56880 and 56899