What is the Greatest Common Factor of 86149 and 86168?

Greatest common factor (GCF) of 86149 and 86168 is 1.

GCF(86149,86168) = 1

We will now calculate the prime factors of 86149 and 86168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86149 and 86168.

How to find the GCF of 86149 and 86168?

We will first find the prime factorization of 86149 and 86168. After we will calculate the factors of 86149 and 86168 and find the biggest common factor number .

Step-1: Prime Factorization of 86149

Prime factors of 86149 are 7, 31, 397. Prime factorization of 86149 in exponential form is:

86149 = 7¹ × 31¹ × 397¹

Step-2: Prime Factorization of 86168

Prime factors of 86168 are 2, 10771. Prime factorization of 86168 in exponential form is:

86168 = 2³ × 10771¹

Step-3: Factors of 86149

List of positive integer factors of 86149 that divides 86149 without a remainder.

1, 7, 31, 217, 397, 2779, 12307

Step-4: Factors of 86168

List of positive integer factors of 86168 that divides 86149 without a remainder.

1, 2, 4, 8, 10771, 21542, 43084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86149 and 86168. The biggest common factor number is the GCF number.
So the greatest common factor 86149 and 86168 is 1.

Also check out the Least Common Multiple of 86149 and 86168