What is the Greatest Common Factor of 4032 and 4044?

Greatest common factor (GCF) of 4032 and 4044 is 12.

GCF(4032,4044) = 12

We will now calculate the prime factors of 4032 and 4044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4032 and 4044.

How to find the GCF of 4032 and 4044?

We will first find the prime factorization of 4032 and 4044. After we will calculate the factors of 4032 and 4044 and find the biggest common factor number .

Step-1: Prime Factorization of 4032

Prime factors of 4032 are 2, 3, 7. Prime factorization of 4032 in exponential form is:

4032 = 2⁶ × 3² × 7¹

Step-2: Prime Factorization of 4044

Prime factors of 4044 are 2, 3, 337. Prime factorization of 4044 in exponential form is:

4044 = 2² × 3¹ × 337¹

Step-3: Factors of 4032

List of positive integer factors of 4032 that divides 4032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016

Step-4: Factors of 4044

List of positive integer factors of 4044 that divides 4032 without a remainder.

1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4032 and 4044. The biggest common factor number is the GCF number.
So the greatest common factor 4032 and 4044 is 12.

Also check out the Least Common Multiple of 4032 and 4044