What is the Greatest Common Factor of 64048 and 64061?

Greatest common factor (GCF) of 64048 and 64061 is 1.

GCF(64048,64061) = 1

We will now calculate the prime factors of 64048 and 64061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64048 and 64061.

How to find the GCF of 64048 and 64061?

We will first find the prime factorization of 64048 and 64061. After we will calculate the factors of 64048 and 64061 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 64061

Prime factors of 64061 are 29, 47. Prime factorization of 64061 in exponential form is:

64061 = 29¹ × 47²

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 64061

List of positive integer factors of 64061 that divides 64048 without a remainder.

1, 29, 47, 1363, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64048 and 64061. The biggest common factor number is the GCF number.
So the greatest common factor 64048 and 64061 is 1.

Also check out the Least Common Multiple of 64048 and 64061