What is the Greatest Common Factor of 64920 and 64926?

Greatest common factor (GCF) of 64920 and 64926 is 6.

GCF(64920,64926) = 6

We will now calculate the prime factors of 64920 and 64926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64920 and 64926.

How to find the GCF of 64920 and 64926?

We will first find the prime factorization of 64920 and 64926. After we will calculate the factors of 64920 and 64926 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64926

Prime factors of 64926 are 2, 3, 3607. Prime factorization of 64926 in exponential form is:

64926 = 2¹ × 3² × 3607¹

Step-3: Factors of 64920

List of positive integer factors of 64920 that divides 64920 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

Step-4: Factors of 64926

List of positive integer factors of 64926 that divides 64920 without a remainder.

1, 2, 3, 6, 9, 18, 3607, 7214, 10821, 21642, 32463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64920 and 64926. The biggest common factor number is the GCF number.
So the greatest common factor 64920 and 64926 is 6.

Also check out the Least Common Multiple of 64920 and 64926