What is the Greatest Common Factor of 64809 and 64828?

Greatest common factor (GCF) of 64809 and 64828 is 19.

GCF(64809,64828) = 19

We will now calculate the prime factors of 64809 and 64828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64809 and 64828.

How to find the GCF of 64809 and 64828?

We will first find the prime factorization of 64809 and 64828. After we will calculate the factors of 64809 and 64828 and find the biggest common factor number .

Step-1: Prime Factorization of 64809

Prime factors of 64809 are 3, 19, 379. Prime factorization of 64809 in exponential form is:

64809 = 3² × 19¹ × 379¹

Step-2: Prime Factorization of 64828

Prime factors of 64828 are 2, 19, 853. Prime factorization of 64828 in exponential form is:

64828 = 2² × 19¹ × 853¹

Step-3: Factors of 64809

List of positive integer factors of 64809 that divides 64809 without a remainder.

1, 3, 9, 19, 57, 171, 379, 1137, 3411, 7201, 21603

Step-4: Factors of 64828

List of positive integer factors of 64828 that divides 64809 without a remainder.

1, 2, 4, 19, 38, 76, 853, 1706, 3412, 16207, 32414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64809 and 64828. The biggest common factor number is the GCF number.
So the greatest common factor 64809 and 64828 is 19.

Also check out the Least Common Multiple of 64809 and 64828