What is the Greatest Common Factor of 64020 and 64032?

Greatest common factor (GCF) of 64020 and 64032 is 12.

GCF(64020,64032) = 12

We will now calculate the prime factors of 64020 and 64032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64020 and 64032.

How to find the GCF of 64020 and 64032?

We will first find the prime factorization of 64020 and 64032. After we will calculate the factors of 64020 and 64032 and find the biggest common factor number .

Step-1: Prime Factorization of 64020

Prime factors of 64020 are 2, 3, 5, 11, 97. Prime factorization of 64020 in exponential form is:

64020 = 2² × 3¹ × 5¹ × 11¹ × 97¹

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 64020

List of positive integer factors of 64020 that divides 64020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 97, 110, 132, 165, 194, 220, 291, 330, 388, 485, 582, 660, 970, 1067, 1164, 1455, 1940, 2134, 2910, 3201, 4268, 5335, 5820, 6402, 10670, 12804, 16005, 21340, 32010

Step-4: Factors of 64032

List of positive integer factors of 64032 that divides 64020 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 64020 and 64032. The biggest common factor number is the GCF number.
So the greatest common factor 64020 and 64032 is 12.

Also check out the Least Common Multiple of 64020 and 64032