What is the Greatest Common Factor of 86675 and 86680?

Greatest common factor (GCF) of 86675 and 86680 is 5.

GCF(86675,86680) = 5

We will now calculate the prime factors of 86675 and 86680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86675 and 86680.

How to find the GCF of 86675 and 86680?

We will first find the prime factorization of 86675 and 86680. After we will calculate the factors of 86675 and 86680 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 86680

Prime factors of 86680 are 2, 5, 11, 197. Prime factorization of 86680 in exponential form is:

86680 = 2³ × 5¹ × 11¹ × 197¹

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 86680

List of positive integer factors of 86680 that divides 86675 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 197, 220, 394, 440, 788, 985, 1576, 1970, 2167, 3940, 4334, 7880, 8668, 10835, 17336, 21670, 43340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86675 and 86680. The biggest common factor number is the GCF number.
So the greatest common factor 86675 and 86680 is 5.

Also check out the Least Common Multiple of 86675 and 86680