What is the Greatest Common Factor of 86164 and 86175?

Greatest common factor (GCF) of 86164 and 86175 is 1.

GCF(86164,86175) = 1

We will now calculate the prime factors of 86164 and 86175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86164 and 86175.

How to find the GCF of 86164 and 86175?

We will first find the prime factorization of 86164 and 86175. After we will calculate the factors of 86164 and 86175 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 86175

Prime factors of 86175 are 3, 5, 383. Prime factorization of 86175 in exponential form is:

86175 = 3² × 5² × 383¹

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 86175

List of positive integer factors of 86175 that divides 86164 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 383, 1149, 1915, 3447, 5745, 9575, 17235, 28725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86164 and 86175. The biggest common factor number is the GCF number.
So the greatest common factor 86164 and 86175 is 1.

Also check out the Least Common Multiple of 86164 and 86175