What is the Greatest Common Factor of 86164 and 86177?

Greatest common factor (GCF) of 86164 and 86177 is 13.

GCF(86164,86177) = 13

We will now calculate the prime factors of 86164 and 86177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86164 and 86177.

How to find the GCF of 86164 and 86177?

We will first find the prime factorization of 86164 and 86177. After we will calculate the factors of 86164 and 86177 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 86177

Prime factors of 86177 are 7, 13, 947. Prime factorization of 86177 in exponential form is:

86177 = 7¹ × 13¹ × 947¹

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 86177

List of positive integer factors of 86177 that divides 86164 without a remainder.

1, 7, 13, 91, 947, 6629, 12311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86164 and 86177. The biggest common factor number is the GCF number.
So the greatest common factor 86164 and 86177 is 13.

Also check out the Least Common Multiple of 86164 and 86177