What is the Greatest Common Factor of 64980 and 64999?

Greatest common factor (GCF) of 64980 and 64999 is 19.

GCF(64980,64999) = 19

We will now calculate the prime factors of 64980 and 64999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64980 and 64999.

How to find the GCF of 64980 and 64999?

We will first find the prime factorization of 64980 and 64999. After we will calculate the factors of 64980 and 64999 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 64999

Prime factors of 64999 are 11, 19, 311. Prime factorization of 64999 in exponential form is:

64999 = 11¹ × 19¹ × 311¹

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 64999

List of positive integer factors of 64999 that divides 64980 without a remainder.

1, 11, 19, 209, 311, 3421, 5909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64980 and 64999. The biggest common factor number is the GCF number.
So the greatest common factor 64980 and 64999 is 19.

Also check out the Least Common Multiple of 64980 and 64999