What is the Greatest Common Factor of 64914 and 64920?

Greatest common factor (GCF) of 64914 and 64920 is 6.

GCF(64914,64920) = 6

We will now calculate the prime factors of 64914 and 64920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64914 and 64920.

How to find the GCF of 64914 and 64920?

We will first find the prime factorization of 64914 and 64920. After we will calculate the factors of 64914 and 64920 and find the biggest common factor number .

Step-1: Prime Factorization of 64914

Prime factors of 64914 are 2, 3, 31, 349. Prime factorization of 64914 in exponential form is:

64914 = 2¹ × 3¹ × 31¹ × 349¹

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 64914

List of positive integer factors of 64914 that divides 64914 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 349, 698, 1047, 2094, 10819, 21638, 32457

Step-4: Factors of 64920

List of positive integer factors of 64920 that divides 64914 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 64914 and 64920. The biggest common factor number is the GCF number.
So the greatest common factor 64914 and 64920 is 6.

Also check out the Least Common Multiple of 64914 and 64920