What is the Greatest Common Factor of 86675 and 86685?

Greatest common factor (GCF) of 86675 and 86685 is 5.

GCF(86675,86685) = 5

We will now calculate the prime factors of 86675 and 86685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86675 and 86685.

How to find the GCF of 86675 and 86685?

We will first find the prime factorization of 86675 and 86685. After we will calculate the factors of 86675 and 86685 and find the biggest common factor number .

Step-1: Prime Factorization of 86675

Prime factors of 86675 are 5, 3467. Prime factorization of 86675 in exponential form is:

86675 = 5² × 3467¹

Step-2: Prime Factorization of 86685

Prime factors of 86685 are 3, 5, 5779. Prime factorization of 86685 in exponential form is:

86685 = 3¹ × 5¹ × 5779¹

Step-3: Factors of 86675

List of positive integer factors of 86675 that divides 86675 without a remainder.

1, 5, 25, 3467, 17335

Step-4: Factors of 86685

List of positive integer factors of 86685 that divides 86675 without a remainder.

1, 3, 5, 15, 5779, 17337, 28895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86675 and 86685. The biggest common factor number is the GCF number.
So the greatest common factor 86675 and 86685 is 5.

Also check out the Least Common Multiple of 86675 and 86685