What is the Greatest Common Factor of 56871 and 56880?

Greatest common factor (GCF) of 56871 and 56880 is 9.

GCF(56871,56880) = 9

We will now calculate the prime factors of 56871 and 56880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56871 and 56880.

How to find the GCF of 56871 and 56880?

We will first find the prime factorization of 56871 and 56880. After we will calculate the factors of 56871 and 56880 and find the biggest common factor number .

Step-1: Prime Factorization of 56871

Prime factors of 56871 are 3, 71, 89. Prime factorization of 56871 in exponential form is:

56871 = 3² × 71¹ × 89¹

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 56871

List of positive integer factors of 56871 that divides 56871 without a remainder.

1, 3, 9, 71, 89, 213, 267, 639, 801, 6319, 18957

Step-4: Factors of 56880

List of positive integer factors of 56880 that divides 56871 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 56871 and 56880. The biggest common factor number is the GCF number.
So the greatest common factor 56871 and 56880 is 9.

Also check out the Least Common Multiple of 56871 and 56880