Greatest Common Factor of 4032 and 4038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4032, 4038 i.e. 6 largest integer by which both the numbers can be divided.

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

GCF(4032,4038) = 6

GCF of 4032 and 4038

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4032 and 4038

GCF of 4032 and 4038 is 6

Prime Factorization of 4032


2 4032
2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

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

4032 = 26×32×71

Prime Factorization of 4038


2 4038
3 2019
673 673
1

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

4038 = 21×31×6731

∴ So by taking common prime factors GCF of 4032 and 4038 is 6

Greatest Common Factor of 4032 and 4038 by matching factors method

Factors of 4032

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

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032

Factors of 4038

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

1,2,3,6,673,1346,2019,4038

Greatest Common Factor

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

Properties of GCF 4032 and 4038

(i) The GCF of 4032 and 4038 is associative

GCF of 4032 and 4038 = GCF of 4038 and 4032

Related Greatest Common Factor of 4032

Related Greatest Common Factor of 4038

Frequently Asked Questions on GCF of 4032 and 4038

1. What is the GCF of 4032 and 4038?

Answer: GCF of 4032 and 4038 is 6.

2. What are the Factors of 4032?

Answer: Factors of 4032 are 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, 4032. There are 42 integers that are factors of 4032. The greatest factor of 4032 is 4032.

3. What are the Factors of 4038?

Answer: Factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038. There are 8 integers that are factors of 4038. The greatest factor of 4038 is 4038.

4. How to Find the GCF of 4032 and 4038?

Answer:

Greatest Common Factor of 4032 and 4038 = 6

Step 1: Find the prime factorization of 4032

4032 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 4038

4038 = 2 x 3 x 673

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4032 and 4038 is 6