What is the Greatest Common Factor of 4032 and 4038?

Greatest common factor (GCF) of 4032 and 4038 is 6.

GCF(4032,4038) = 6

We will now calculate the prime factors of 4032 and 4038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4032 and 4038.

How to find the GCF of 4032 and 4038?

We will first find the prime factorization of 4032 and 4038. After we will calculate the factors of 4032 and 4038 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 4038

Prime factors of 4038 are 2, 3, 673. Prime factorization of 4038 in exponential form is:

4038 = 2¹ × 3¹ × 673¹

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 4038

List of positive integer factors of 4038 that divides 4032 without a remainder.

1, 2, 3, 6, 673, 1346, 2019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4032 and 4038. The biggest common factor number is the GCF number.
So the greatest common factor 4032 and 4038 is 6.

Also check out the Least Common Multiple of 4032 and 4038