What is the Greatest Common Factor of 64048 and 64060?

Greatest common factor (GCF) of 64048 and 64060 is 4.

GCF(64048,64060) = 4

We will now calculate the prime factors of 64048 and 64060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64048 and 64060.

How to find the GCF of 64048 and 64060?

We will first find the prime factorization of 64048 and 64060. After we will calculate the factors of 64048 and 64060 and find the biggest common factor number .

Step-1: Prime Factorization of 64048

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

64048 = 2⁴ × 4003¹

Step-2: Prime Factorization of 64060

Prime factors of 64060 are 2, 5, 3203. Prime factorization of 64060 in exponential form is:

64060 = 2² × 5¹ × 3203¹

Step-3: Factors of 64048

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

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

Step-4: Factors of 64060

List of positive integer factors of 64060 that divides 64048 without a remainder.

1, 2, 4, 5, 10, 20, 3203, 6406, 12812, 16015, 32030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64048 and 64060. The biggest common factor number is the GCF number.
So the greatest common factor 64048 and 64060 is 4.

Also check out the Least Common Multiple of 64048 and 64060