What is the Greatest Common Factor of 86342 and 86346?

Greatest common factor (GCF) of 86342 and 86346 is 2.

GCF(86342,86346) = 2

We will now calculate the prime factors of 86342 and 86346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86342 and 86346.

How to find the GCF of 86342 and 86346?

We will first find the prime factorization of 86342 and 86346. After we will calculate the factors of 86342 and 86346 and find the biggest common factor number .

Step-1: Prime Factorization of 86342

Prime factors of 86342 are 2, 23, 1877. Prime factorization of 86342 in exponential form is:

86342 = 2¹ × 23¹ × 1877¹

Step-2: 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-3: Factors of 86342

List of positive integer factors of 86342 that divides 86342 without a remainder.

1, 2, 23, 46, 1877, 3754, 43171

Step-4: Factors of 86346

List of positive integer factors of 86346 that divides 86342 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86342 and 86346. The biggest common factor number is the GCF number.
So the greatest common factor 86342 and 86346 is 2.

Also check out the Least Common Multiple of 86342 and 86346