What is the Greatest Common Factor of 86164 and 86172?

Greatest common factor (GCF) of 86164 and 86172 is 4.

GCF(86164,86172) = 4

We will now calculate the prime factors of 86164 and 86172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86164 and 86172.

How to find the GCF of 86164 and 86172?

We will first find the prime factorization of 86164 and 86172. After we will calculate the factors of 86164 and 86172 and find the biggest common factor number .

Step-1: Prime Factorization of 86164

Prime factors of 86164 are 2, 13, 1657. Prime factorization of 86164 in exponential form is:

86164 = 2² × 13¹ × 1657¹

Step-2: Prime Factorization of 86172

Prime factors of 86172 are 2, 3, 43, 167. Prime factorization of 86172 in exponential form is:

86172 = 2² × 3¹ × 43¹ × 167¹

Step-3: Factors of 86164

List of positive integer factors of 86164 that divides 86164 without a remainder.

1, 2, 4, 13, 26, 52, 1657, 3314, 6628, 21541, 43082

Step-4: Factors of 86172

List of positive integer factors of 86172 that divides 86164 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 167, 172, 258, 334, 501, 516, 668, 1002, 2004, 7181, 14362, 21543, 28724, 43086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86164 and 86172. The biggest common factor number is the GCF number.
So the greatest common factor 86164 and 86172 is 4.

Also check out the Least Common Multiple of 86164 and 86172