What is the Greatest Common Factor of 64016 and 64034?

Greatest common factor (GCF) of 64016 and 64034 is 2.

GCF(64016,64034) = 2

We will now calculate the prime factors of 64016 and 64034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64016 and 64034.

How to find the GCF of 64016 and 64034?

We will first find the prime factorization of 64016 and 64034. After we will calculate the factors of 64016 and 64034 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 64034

Prime factors of 64034 are 2, 101, 317. Prime factorization of 64034 in exponential form is:

64034 = 2¹ × 101¹ × 317¹

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 64034

List of positive integer factors of 64034 that divides 64016 without a remainder.

1, 2, 101, 202, 317, 634, 32017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64016 and 64034. The biggest common factor number is the GCF number.
So the greatest common factor 64016 and 64034 is 2.

Also check out the Least Common Multiple of 64016 and 64034