What is the Greatest Common Factor of 86145 and 86164?

Greatest common factor (GCF) of 86145 and 86164 is 1.

GCF(86145,86164) = 1

We will now calculate the prime factors of 86145 and 86164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86145 and 86164.

How to find the GCF of 86145 and 86164?

We will first find the prime factorization of 86145 and 86164. After we will calculate the factors of 86145 and 86164 and find the biggest common factor number .

Step-1: Prime Factorization of 86145

Prime factors of 86145 are 3, 5, 5743. Prime factorization of 86145 in exponential form is:

86145 = 3¹ × 5¹ × 5743¹

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 86145

List of positive integer factors of 86145 that divides 86145 without a remainder.

1, 3, 5, 15, 5743, 17229, 28715

Step-4: Factors of 86164

List of positive integer factors of 86164 that divides 86145 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 86145 and 86164. The biggest common factor number is the GCF number.
So the greatest common factor 86145 and 86164 is 1.

Also check out the Least Common Multiple of 86145 and 86164