What is the Greatest Common Factor of 64032 and 64048?

Greatest common factor (GCF) of 64032 and 64048 is 16.

GCF(64032,64048) = 16

We will now calculate the prime factors of 64032 and 64048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64032 and 64048.

How to find the GCF of 64032 and 64048?

We will first find the prime factorization of 64032 and 64048. After we will calculate the factors of 64032 and 64048 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64048

Prime factors of 64048 are 2, 4003. Prime factorization of 64048 in exponential form is:

64048 = 2⁴ × 4003¹

Step-3: Factors of 64032

List of positive integer factors of 64032 that divides 64032 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

Step-4: Factors of 64048

List of positive integer factors of 64048 that divides 64032 without a remainder.

1, 2, 4, 8, 16, 4003, 8006, 16012, 32024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64032 and 64048. The biggest common factor number is the GCF number.
So the greatest common factor 64032 and 64048 is 16.

Also check out the Least Common Multiple of 64032 and 64048