What is the Greatest Common Factor of 64920 and 64938?

Greatest common factor (GCF) of 64920 and 64938 is 6.

GCF(64920,64938) = 6

We will now calculate the prime factors of 64920 and 64938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64920 and 64938.

How to find the GCF of 64920 and 64938?

We will first find the prime factorization of 64920 and 64938. After we will calculate the factors of 64920 and 64938 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 64938

Prime factors of 64938 are 2, 3, 79, 137. Prime factorization of 64938 in exponential form is:

64938 = 2¹ × 3¹ × 79¹ × 137¹

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 64938

List of positive integer factors of 64938 that divides 64920 without a remainder.

1, 2, 3, 6, 79, 137, 158, 237, 274, 411, 474, 822, 10823, 21646, 32469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64920 and 64938. The biggest common factor number is the GCF number.
So the greatest common factor 64920 and 64938 is 6.

Also check out the Least Common Multiple of 64920 and 64938