What is the Greatest Common Factor of 64980 and 64995?

Greatest common factor (GCF) of 64980 and 64995 is 15.

GCF(64980,64995) = 15

We will now calculate the prime factors of 64980 and 64995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64980 and 64995.

How to find the GCF of 64980 and 64995?

We will first find the prime factorization of 64980 and 64995. After we will calculate the factors of 64980 and 64995 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 64995

Prime factors of 64995 are 3, 5, 7, 619. Prime factorization of 64995 in exponential form is:

64995 = 3¹ × 5¹ × 7¹ × 619¹

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 64995

List of positive integer factors of 64995 that divides 64980 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 619, 1857, 3095, 4333, 9285, 12999, 21665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64980 and 64995. The biggest common factor number is the GCF number.
So the greatest common factor 64980 and 64995 is 15.

Also check out the Least Common Multiple of 64980 and 64995