What is the Greatest Common Factor of 64961 and 64980?

Greatest common factor (GCF) of 64961 and 64980 is 19.

GCF(64961,64980) = 19

We will now calculate the prime factors of 64961 and 64980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64961 and 64980.

How to find the GCF of 64961 and 64980?

We will first find the prime factorization of 64961 and 64980. After we will calculate the factors of 64961 and 64980 and find the biggest common factor number .

Step-1: Prime Factorization of 64961

Prime factors of 64961 are 13, 19, 263. Prime factorization of 64961 in exponential form is:

64961 = 13¹ × 19¹ × 263¹

Step-2: 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-3: Factors of 64961

List of positive integer factors of 64961 that divides 64961 without a remainder.

1, 13, 19, 247, 263, 3419, 4997

Step-4: Factors of 64980

List of positive integer factors of 64980 that divides 64961 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64961 and 64980. The biggest common factor number is the GCF number.
So the greatest common factor 64961 and 64980 is 19.

Also check out the Least Common Multiple of 64961 and 64980