What is the Greatest Common Factor of 56875 and 56889?

Greatest common factor (GCF) of 56875 and 56889 is 7.

GCF(56875,56889) = 7

We will now calculate the prime factors of 56875 and 56889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56875 and 56889.

How to find the GCF of 56875 and 56889?

We will first find the prime factorization of 56875 and 56889. After we will calculate the factors of 56875 and 56889 and find the biggest common factor number .

Step-1: Prime Factorization of 56875

Prime factors of 56875 are 5, 7, 13. Prime factorization of 56875 in exponential form is:

56875 = 5⁴ × 7¹ × 13¹

Step-2: Prime Factorization of 56889

Prime factors of 56889 are 3, 7, 43. Prime factorization of 56889 in exponential form is:

56889 = 3³ × 7² × 43¹

Step-3: Factors of 56875

List of positive integer factors of 56875 that divides 56875 without a remainder.

1, 5, 7, 13, 25, 35, 65, 91, 125, 175, 325, 455, 625, 875, 1625, 2275, 4375, 8125, 11375

Step-4: Factors of 56889

List of positive integer factors of 56889 that divides 56875 without a remainder.

1, 3, 7, 9, 21, 27, 43, 49, 63, 129, 147, 189, 301, 387, 441, 903, 1161, 1323, 2107, 2709, 6321, 8127, 18963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56875 and 56889. The biggest common factor number is the GCF number.
So the greatest common factor 56875 and 56889 is 7.

Also check out the Least Common Multiple of 56875 and 56889