What is the Greatest Common Factor of 64016 and 64031?

Greatest common factor (GCF) of 64016 and 64031 is 1.

GCF(64016,64031) = 1

We will now calculate the prime factors of 64016 and 64031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64016 and 64031.

How to find the GCF of 64016 and 64031?

We will first find the prime factorization of 64016 and 64031. After we will calculate the factors of 64016 and 64031 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 64031

Prime factors of 64031 are 11, 5821. Prime factorization of 64031 in exponential form is:

64031 = 11¹ × 5821¹

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 64031

List of positive integer factors of 64031 that divides 64016 without a remainder.

1, 11, 5821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64016 and 64031. The biggest common factor number is the GCF number.
So the greatest common factor 64016 and 64031 is 1.

Also check out the Least Common Multiple of 64016 and 64031