What is the Greatest Common Factor of 64980 and 64997?

Greatest common factor (GCF) of 64980 and 64997 is 1.

GCF(64980,64997) = 1

We will now calculate the prime factors of 64980 and 64997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64980 and 64997.

How to find the GCF of 64980 and 64997?

We will first find the prime factorization of 64980 and 64997. After we will calculate the factors of 64980 and 64997 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 64997

Prime factors of 64997 are 64997. Prime factorization of 64997 in exponential form is:

64997 = 64997¹

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 64997

List of positive integer factors of 64997 that divides 64980 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64980 and 64997. The biggest common factor number is the GCF number.
So the greatest common factor 64980 and 64997 is 1.

Also check out the Least Common Multiple of 64980 and 64997