What is the Greatest Common Factor of 86164 and 86170?

Greatest common factor (GCF) of 86164 and 86170 is 2.

GCF(86164,86170) = 2

We will now calculate the prime factors of 86164 and 86170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86164 and 86170.

How to find the GCF of 86164 and 86170?

We will first find the prime factorization of 86164 and 86170. After we will calculate the factors of 86164 and 86170 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 86170

Prime factors of 86170 are 2, 5, 7, 1231. Prime factorization of 86170 in exponential form is:

86170 = 2¹ × 5¹ × 7¹ × 1231¹

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 86170

List of positive integer factors of 86170 that divides 86164 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1231, 2462, 6155, 8617, 12310, 17234, 43085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86164 and 86170. The biggest common factor number is the GCF number.
So the greatest common factor 86164 and 86170 is 2.

Also check out the Least Common Multiple of 86164 and 86170