What is the Greatest Common Factor of 64980 and 64992?

Greatest common factor (GCF) of 64980 and 64992 is 12.

GCF(64980,64992) = 12

We will now calculate the prime factors of 64980 and 64992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64980 and 64992.

How to find the GCF of 64980 and 64992?

We will first find the prime factorization of 64980 and 64992. After we will calculate the factors of 64980 and 64992 and find the biggest common factor number .

Step-1: Prime Factorization of 64980

Prime factors of 64980 are 2, 3, 5, 19. Prime factorization of 64980 in exponential form is:

64980 = 2² × 3² × 5¹ × 19²

Step-2: Prime Factorization of 64992

Prime factors of 64992 are 2, 3, 677. Prime factorization of 64992 in exponential form is:

64992 = 2⁵ × 3¹ × 677¹

Step-3: Factors of 64980

List of positive integer factors of 64980 that divides 64980 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 361, 380, 570, 684, 722, 855, 1083, 1140, 1444, 1710, 1805, 2166, 3249, 3420, 3610, 4332, 5415, 6498, 7220, 10830, 12996, 16245, 21660, 32490

Step-4: Factors of 64992

List of positive integer factors of 64992 that divides 64980 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 677, 1354, 2031, 2708, 4062, 5416, 8124, 10832, 16248, 21664, 32496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64980 and 64992. The biggest common factor number is the GCF number.
So the greatest common factor 64980 and 64992 is 12.

Also check out the Least Common Multiple of 64980 and 64992