What is the Greatest Common Factor of 64044 and 64048?

Greatest common factor (GCF) of 64044 and 64048 is 4.

GCF(64044,64048) = 4

We will now calculate the prime factors of 64044 and 64048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64044 and 64048.

How to find the GCF of 64044 and 64048?

We will first find the prime factorization of 64044 and 64048. After we will calculate the factors of 64044 and 64048 and find the biggest common factor number .

Step-1: Prime Factorization of 64044

Prime factors of 64044 are 2, 3, 593. Prime factorization of 64044 in exponential form is:

64044 = 2² × 3³ × 593¹

Step-2: Prime Factorization of 64048

Prime factors of 64048 are 2, 4003. Prime factorization of 64048 in exponential form is:

64048 = 2⁴ × 4003¹

Step-3: Factors of 64044

List of positive integer factors of 64044 that divides 64044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 593, 1186, 1779, 2372, 3558, 5337, 7116, 10674, 16011, 21348, 32022

Step-4: Factors of 64048

List of positive integer factors of 64048 that divides 64044 without a remainder.

1, 2, 4, 8, 16, 4003, 8006, 16012, 32024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64044 and 64048. The biggest common factor number is the GCF number.
So the greatest common factor 64044 and 64048 is 4.

Also check out the Least Common Multiple of 64044 and 64048