What is the Greatest Common Factor of 86855 and 86875?

Greatest common factor (GCF) of 86855 and 86875 is 5.

GCF(86855,86875) = 5

We will now calculate the prime factors of 86855 and 86875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86855 and 86875.

How to find the GCF of 86855 and 86875?

We will first find the prime factorization of 86855 and 86875. After we will calculate the factors of 86855 and 86875 and find the biggest common factor number .

Step-1: Prime Factorization of 86855

Prime factors of 86855 are 5, 29, 599. Prime factorization of 86855 in exponential form is:

86855 = 5¹ × 29¹ × 599¹

Step-2: Prime Factorization of 86875

Prime factors of 86875 are 5, 139. Prime factorization of 86875 in exponential form is:

86875 = 5⁴ × 139¹

Step-3: Factors of 86855

List of positive integer factors of 86855 that divides 86855 without a remainder.

1, 5, 29, 145, 599, 2995, 17371

Step-4: Factors of 86875

List of positive integer factors of 86875 that divides 86855 without a remainder.

1, 5, 25, 125, 139, 625, 695, 3475, 17375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86855 and 86875. The biggest common factor number is the GCF number.
So the greatest common factor 86855 and 86875 is 5.

Also check out the Least Common Multiple of 86855 and 86875