What is the Greatest Common Factor of 86135 and 86149?

Greatest common factor (GCF) of 86135 and 86149 is 7.

GCF(86135,86149) = 7

We will now calculate the prime factors of 86135 and 86149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86135 and 86149.

How to find the GCF of 86135 and 86149?

We will first find the prime factorization of 86135 and 86149. After we will calculate the factors of 86135 and 86149 and find the biggest common factor number .

Step-1: Prime Factorization of 86135

Prime factors of 86135 are 5, 7, 23, 107. Prime factorization of 86135 in exponential form is:

86135 = 5¹ × 7¹ × 23¹ × 107¹

Step-2: 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-3: Factors of 86135

List of positive integer factors of 86135 that divides 86135 without a remainder.

1, 5, 7, 23, 35, 107, 115, 161, 535, 749, 805, 2461, 3745, 12305, 17227

Step-4: Factors of 86149

List of positive integer factors of 86149 that divides 86135 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86135 and 86149. The biggest common factor number is the GCF number.
So the greatest common factor 86135 and 86149 is 7.

Also check out the Least Common Multiple of 86135 and 86149