What is the Greatest Common Factor of 85875 and 85880?

Greatest common factor (GCF) of 85875 and 85880 is 5.

GCF(85875,85880) = 5

We will now calculate the prime factors of 85875 and 85880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85875 and 85880.

How to find the GCF of 85875 and 85880?

We will first find the prime factorization of 85875 and 85880. After we will calculate the factors of 85875 and 85880 and find the biggest common factor number .

Step-1: Prime Factorization of 85875

Prime factors of 85875 are 3, 5, 229. Prime factorization of 85875 in exponential form is:

85875 = 3¹ × 5³ × 229¹

Step-2: Prime Factorization of 85880

Prime factors of 85880 are 2, 5, 19, 113. Prime factorization of 85880 in exponential form is:

85880 = 2³ × 5¹ × 19¹ × 113¹

Step-3: Factors of 85875

List of positive integer factors of 85875 that divides 85875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 229, 375, 687, 1145, 3435, 5725, 17175, 28625

Step-4: Factors of 85880

List of positive integer factors of 85880 that divides 85875 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 113, 152, 190, 226, 380, 452, 565, 760, 904, 1130, 2147, 2260, 4294, 4520, 8588, 10735, 17176, 21470, 42940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85875 and 85880. The biggest common factor number is the GCF number.
So the greatest common factor 85875 and 85880 is 5.

Also check out the Least Common Multiple of 85875 and 85880