What is the Greatest Common Factor of 86149 and 86156?

Greatest common factor (GCF) of 86149 and 86156 is 7.

GCF(86149,86156) = 7

We will now calculate the prime factors of 86149 and 86156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86149 and 86156.

How to find the GCF of 86149 and 86156?

We will first find the prime factorization of 86149 and 86156. After we will calculate the factors of 86149 and 86156 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 86156

Prime factors of 86156 are 2, 7, 17, 181. Prime factorization of 86156 in exponential form is:

86156 = 2² × 7¹ × 17¹ × 181¹

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 86156

List of positive integer factors of 86156 that divides 86149 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 181, 238, 362, 476, 724, 1267, 2534, 3077, 5068, 6154, 12308, 21539, 43078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86149 and 86156. The biggest common factor number is the GCF number.
So the greatest common factor 86149 and 86156 is 7.

Also check out the Least Common Multiple of 86149 and 86156