What is the Greatest Common Factor of 64980 and 64998?

Greatest common factor (GCF) of 64980 and 64998 is 18.

GCF(64980,64998) = 18

We will now calculate the prime factors of 64980 and 64998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64980 and 64998.

How to find the GCF of 64980 and 64998?

We will first find the prime factorization of 64980 and 64998. After we will calculate the factors of 64980 and 64998 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 64998

Prime factors of 64998 are 2, 3, 23, 157. Prime factorization of 64998 in exponential form is:

64998 = 2¹ × 3² × 23¹ × 157¹

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 64998

List of positive integer factors of 64998 that divides 64980 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 157, 207, 314, 414, 471, 942, 1413, 2826, 3611, 7222, 10833, 21666, 32499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64980 and 64998. The biggest common factor number is the GCF number.
So the greatest common factor 64980 and 64998 is 18.

Also check out the Least Common Multiple of 64980 and 64998