What is the Greatest Common Factor of 65286 and 65299?

Greatest common factor (GCF) of 65286 and 65299 is 13.

GCF(65286,65299) = 13

We will now calculate the prime factors of 65286 and 65299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65286 and 65299.

How to find the GCF of 65286 and 65299?

We will first find the prime factorization of 65286 and 65299. After we will calculate the factors of 65286 and 65299 and find the biggest common factor number .

Step-1: Prime Factorization of 65286

Prime factors of 65286 are 2, 3, 13, 31. Prime factorization of 65286 in exponential form is:

65286 = 2¹ × 3⁴ × 13¹ × 31¹

Step-2: Prime Factorization of 65299

Prime factors of 65299 are 13, 5023. Prime factorization of 65299 in exponential form is:

65299 = 13¹ × 5023¹

Step-3: Factors of 65286

List of positive integer factors of 65286 that divides 65286 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 31, 39, 54, 62, 78, 81, 93, 117, 162, 186, 234, 279, 351, 403, 558, 702, 806, 837, 1053, 1209, 1674, 2106, 2418, 2511, 3627, 5022, 7254, 10881, 21762, 32643

Step-4: Factors of 65299

List of positive integer factors of 65299 that divides 65286 without a remainder.

1, 13, 5023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65286 and 65299. The biggest common factor number is the GCF number.
So the greatest common factor 65286 and 65299 is 13.

Also check out the Least Common Multiple of 65286 and 65299