What is the Greatest Common Factor of 64809 and 64824?

Greatest common factor (GCF) of 64809 and 64824 is 3.

GCF(64809,64824) = 3

We will now calculate the prime factors of 64809 and 64824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64809 and 64824.

How to find the GCF of 64809 and 64824?

We will first find the prime factorization of 64809 and 64824. After we will calculate the factors of 64809 and 64824 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 64824

Prime factors of 64824 are 2, 3, 37, 73. Prime factorization of 64824 in exponential form is:

64824 = 2³ × 3¹ × 37¹ × 73¹

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 64824

List of positive integer factors of 64824 that divides 64809 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 73, 74, 111, 146, 148, 219, 222, 292, 296, 438, 444, 584, 876, 888, 1752, 2701, 5402, 8103, 10804, 16206, 21608, 32412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64809 and 64824. The biggest common factor number is the GCF number.
So the greatest common factor 64809 and 64824 is 3.

Also check out the Least Common Multiple of 64809 and 64824