What is the Greatest Common Factor of 64911 and 64920?

Greatest common factor (GCF) of 64911 and 64920 is 3.

GCF(64911,64920) = 3

We will now calculate the prime factors of 64911 and 64920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64911 and 64920.

How to find the GCF of 64911 and 64920?

We will first find the prime factorization of 64911 and 64920. After we will calculate the factors of 64911 and 64920 and find the biggest common factor number .

Step-1: Prime Factorization of 64911

Prime factors of 64911 are 3, 7, 11, 281. Prime factorization of 64911 in exponential form is:

64911 = 3¹ × 7¹ × 11¹ × 281¹

Step-2: Prime Factorization of 64920

Prime factors of 64920 are 2, 3, 5, 541. Prime factorization of 64920 in exponential form is:

64920 = 2³ × 3¹ × 5¹ × 541¹

Step-3: Factors of 64911

List of positive integer factors of 64911 that divides 64911 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 281, 843, 1967, 3091, 5901, 9273, 21637

Step-4: Factors of 64920

List of positive integer factors of 64920 that divides 64911 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 541, 1082, 1623, 2164, 2705, 3246, 4328, 5410, 6492, 8115, 10820, 12984, 16230, 21640, 32460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64911 and 64920. The biggest common factor number is the GCF number.
So the greatest common factor 64911 and 64920 is 3.

Also check out the Least Common Multiple of 64911 and 64920