What is the Greatest Common Factor of 64016 and 64025?

Greatest common factor (GCF) of 64016 and 64025 is 1.

GCF(64016,64025) = 1

We will now calculate the prime factors of 64016 and 64025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64016 and 64025.

How to find the GCF of 64016 and 64025?

We will first find the prime factorization of 64016 and 64025. After we will calculate the factors of 64016 and 64025 and find the biggest common factor number .

Step-1: Prime Factorization of 64016

Prime factors of 64016 are 2, 4001. Prime factorization of 64016 in exponential form is:

64016 = 2⁴ × 4001¹

Step-2: Prime Factorization of 64025

Prime factors of 64025 are 5, 13, 197. Prime factorization of 64025 in exponential form is:

64025 = 5² × 13¹ × 197¹

Step-3: Factors of 64016

List of positive integer factors of 64016 that divides 64016 without a remainder.

1, 2, 4, 8, 16, 4001, 8002, 16004, 32008

Step-4: Factors of 64025

List of positive integer factors of 64025 that divides 64016 without a remainder.

1, 5, 13, 25, 65, 197, 325, 985, 2561, 4925, 12805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64016 and 64025. The biggest common factor number is the GCF number.
So the greatest common factor 64016 and 64025 is 1.

Also check out the Least Common Multiple of 64016 and 64025