What is the Greatest Common Factor of 64608 and 64620?

Greatest common factor (GCF) of 64608 and 64620 is 12.

GCF(64608,64620) = 12

We will now calculate the prime factors of 64608 and 64620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64608 and 64620.

How to find the GCF of 64608 and 64620?

We will first find the prime factorization of 64608 and 64620. After we will calculate the factors of 64608 and 64620 and find the biggest common factor number .

Step-1: Prime Factorization of 64608

Prime factors of 64608 are 2, 3, 673. Prime factorization of 64608 in exponential form is:

64608 = 2⁵ × 3¹ × 673¹

Step-2: Prime Factorization of 64620

Prime factors of 64620 are 2, 3, 5, 359. Prime factorization of 64620 in exponential form is:

64620 = 2² × 3² × 5¹ × 359¹

Step-3: Factors of 64608

List of positive integer factors of 64608 that divides 64608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 673, 1346, 2019, 2692, 4038, 5384, 8076, 10768, 16152, 21536, 32304

Step-4: Factors of 64620

List of positive integer factors of 64620 that divides 64608 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 359, 718, 1077, 1436, 1795, 2154, 3231, 3590, 4308, 5385, 6462, 7180, 10770, 12924, 16155, 21540, 32310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64608 and 64620. The biggest common factor number is the GCF number.
So the greatest common factor 64608 and 64620 is 12.

Also check out the Least Common Multiple of 64608 and 64620