What is the Greatest Common Factor of 86875 and 86885?

Greatest common factor (GCF) of 86875 and 86885 is 5.

GCF(86875,86885) = 5

We will now calculate the prime factors of 86875 and 86885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86875 and 86885.

How to find the GCF of 86875 and 86885?

We will first find the prime factorization of 86875 and 86885. After we will calculate the factors of 86875 and 86885 and find the biggest common factor number .

Step-1: Prime Factorization of 86875

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

86875 = 5⁴ × 139¹

Step-2: Prime Factorization of 86885

Prime factors of 86885 are 5, 17377. Prime factorization of 86885 in exponential form is:

86885 = 5¹ × 17377¹

Step-3: Factors of 86875

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

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

Step-4: Factors of 86885

List of positive integer factors of 86885 that divides 86875 without a remainder.

1, 5, 17377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86875 and 86885. The biggest common factor number is the GCF number.
So the greatest common factor 86875 and 86885 is 5.

Also check out the Least Common Multiple of 86875 and 86885