What is the Greatest Common Factor of 64608 and 64623?

Greatest common factor (GCF) of 64608 and 64623 is 3.

GCF(64608,64623) = 3

We will now calculate the prime factors of 64608 and 64623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64608 and 64623.

How to find the GCF of 64608 and 64623?

We will first find the prime factorization of 64608 and 64623. After we will calculate the factors of 64608 and 64623 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 64623

Prime factors of 64623 are 3, 13, 1657. Prime factorization of 64623 in exponential form is:

64623 = 3¹ × 13¹ × 1657¹

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 64623

List of positive integer factors of 64623 that divides 64608 without a remainder.

1, 3, 13, 39, 1657, 4971, 21541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64608 and 64623. The biggest common factor number is the GCF number.
So the greatest common factor 64608 and 64623 is 3.

Also check out the Least Common Multiple of 64608 and 64623