What is the Greatest Common Factor of 56875 and 56888?

Greatest common factor (GCF) of 56875 and 56888 is 13.

GCF(56875,56888) = 13

We will now calculate the prime factors of 56875 and 56888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56875 and 56888.

How to find the GCF of 56875 and 56888?

We will first find the prime factorization of 56875 and 56888. After we will calculate the factors of 56875 and 56888 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 56888

Prime factors of 56888 are 2, 13, 547. Prime factorization of 56888 in exponential form is:

56888 = 2³ × 13¹ × 547¹

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 56888

List of positive integer factors of 56888 that divides 56875 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 547, 1094, 2188, 4376, 7111, 14222, 28444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56875 and 56888. The biggest common factor number is the GCF number.
So the greatest common factor 56875 and 56888 is 13.

Also check out the Least Common Multiple of 56875 and 56888