What is the Greatest Common Factor of 86319 and 86337?

Greatest common factor (GCF) of 86319 and 86337 is 9.

GCF(86319,86337) = 9

We will now calculate the prime factors of 86319 and 86337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86319 and 86337.

How to find the GCF of 86319 and 86337?

We will first find the prime factorization of 86319 and 86337. After we will calculate the factors of 86319 and 86337 and find the biggest common factor number .

Step-1: Prime Factorization of 86319

Prime factors of 86319 are 3, 23, 139. Prime factorization of 86319 in exponential form is:

86319 = 3³ × 23¹ × 139¹

Step-2: Prime Factorization of 86337

Prime factors of 86337 are 3, 53, 181. Prime factorization of 86337 in exponential form is:

86337 = 3² × 53¹ × 181¹

Step-3: Factors of 86319

List of positive integer factors of 86319 that divides 86319 without a remainder.

1, 3, 9, 23, 27, 69, 139, 207, 417, 621, 1251, 3197, 3753, 9591, 28773

Step-4: Factors of 86337

List of positive integer factors of 86337 that divides 86319 without a remainder.

1, 3, 9, 53, 159, 181, 477, 543, 1629, 9593, 28779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86319 and 86337. The biggest common factor number is the GCF number.
So the greatest common factor 86319 and 86337 is 9.

Also check out the Least Common Multiple of 86319 and 86337