What is the Greatest Common Factor of 65286 and 65304?

Greatest common factor (GCF) of 65286 and 65304 is 18.

GCF(65286,65304) = 18

We will now calculate the prime factors of 65286 and 65304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65286 and 65304.

How to find the GCF of 65286 and 65304?

We will first find the prime factorization of 65286 and 65304. After we will calculate the factors of 65286 and 65304 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 65304

Prime factors of 65304 are 2, 3, 907. Prime factorization of 65304 in exponential form is:

65304 = 2³ × 3² × 907¹

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 65304

List of positive integer factors of 65304 that divides 65286 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 907, 1814, 2721, 3628, 5442, 7256, 8163, 10884, 16326, 21768, 32652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65286 and 65304. The biggest common factor number is the GCF number.
So the greatest common factor 65286 and 65304 is 18.

Also check out the Least Common Multiple of 65286 and 65304