What is the Greatest Common Factor of 86346 and 86359?

Greatest common factor (GCF) of 86346 and 86359 is 13.

GCF(86346,86359) = 13

We will now calculate the prime factors of 86346 and 86359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86346 and 86359.

How to find the GCF of 86346 and 86359?

We will first find the prime factorization of 86346 and 86359. After we will calculate the factors of 86346 and 86359 and find the biggest common factor number .

Step-1: Prime Factorization of 86346

Prime factors of 86346 are 2, 3, 13, 41. Prime factorization of 86346 in exponential form is:

86346 = 2¹ × 3⁴ × 13¹ × 41¹

Step-2: Prime Factorization of 86359

Prime factors of 86359 are 7, 13, 73. Prime factorization of 86359 in exponential form is:

86359 = 7¹ × 13² × 73¹

Step-3: Factors of 86346

List of positive integer factors of 86346 that divides 86346 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 41, 54, 78, 81, 82, 117, 123, 162, 234, 246, 351, 369, 533, 702, 738, 1053, 1066, 1107, 1599, 2106, 2214, 3198, 3321, 4797, 6642, 9594, 14391, 28782, 43173

Step-4: Factors of 86359

List of positive integer factors of 86359 that divides 86346 without a remainder.

1, 7, 13, 73, 91, 169, 511, 949, 1183, 6643, 12337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86346 and 86359. The biggest common factor number is the GCF number.
So the greatest common factor 86346 and 86359 is 13.

Also check out the Least Common Multiple of 86346 and 86359