What is the Greatest Common Factor of 64016 and 64032?

Greatest common factor (GCF) of 64016 and 64032 is 16.

GCF(64016,64032) = 16

We will now calculate the prime factors of 64016 and 64032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64016 and 64032.

How to find the GCF of 64016 and 64032?

We will first find the prime factorization of 64016 and 64032. After we will calculate the factors of 64016 and 64032 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 64032

Prime factors of 64032 are 2, 3, 23, 29. Prime factorization of 64032 in exponential form is:

64032 = 2⁵ × 3¹ × 23¹ × 29¹

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 64032

List of positive integer factors of 64032 that divides 64016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 29, 32, 46, 48, 58, 69, 87, 92, 96, 116, 138, 174, 184, 232, 276, 348, 368, 464, 552, 667, 696, 736, 928, 1104, 1334, 1392, 2001, 2208, 2668, 2784, 4002, 5336, 8004, 10672, 16008, 21344, 32016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64016 and 64032. The biggest common factor number is the GCF number.
So the greatest common factor 64016 and 64032 is 16.

Also check out the Least Common Multiple of 64016 and 64032