What is the Greatest Common Factor of 64980 and 64996?

Greatest common factor (GCF) of 64980 and 64996 is 4.

GCF(64980,64996) = 4

We will now calculate the prime factors of 64980 and 64996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64980 and 64996.

How to find the GCF of 64980 and 64996?

We will first find the prime factorization of 64980 and 64996. After we will calculate the factors of 64980 and 64996 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 64996

Prime factors of 64996 are 2, 16249. Prime factorization of 64996 in exponential form is:

64996 = 2² × 16249¹

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 64996

List of positive integer factors of 64996 that divides 64980 without a remainder.

1, 2, 4, 16249, 32498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64980 and 64996. The biggest common factor number is the GCF number.
So the greatest common factor 64980 and 64996 is 4.

Also check out the Least Common Multiple of 64980 and 64996