What is the Greatest Common Factor of 86151 and 86164?

Greatest common factor (GCF) of 86151 and 86164 is 13.

GCF(86151,86164) = 13

We will now calculate the prime factors of 86151 and 86164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86151 and 86164.

How to find the GCF of 86151 and 86164?

We will first find the prime factorization of 86151 and 86164. After we will calculate the factors of 86151 and 86164 and find the biggest common factor number .

Step-1: Prime Factorization of 86151

Prime factors of 86151 are 3, 13, 47. Prime factorization of 86151 in exponential form is:

86151 = 3¹ × 13¹ × 47²

Step-2: 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-3: Factors of 86151

List of positive integer factors of 86151 that divides 86151 without a remainder.

1, 3, 13, 39, 47, 141, 611, 1833, 2209, 6627, 28717

Step-4: Factors of 86164

List of positive integer factors of 86164 that divides 86151 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86151 and 86164. The biggest common factor number is the GCF number.
So the greatest common factor 86151 and 86164 is 13.

Also check out the Least Common Multiple of 86151 and 86164