Greatest Common Factor of 7032 and 7038

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 7032, 7038 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7032 and 7038 is 6.

GCF(7032,7038) = 6

GCF of 7032 and 7038

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

GCF of:
and

Greatest Common Factor of 7032 and 7038

GCF of 7032 and 7038 is 6

Prime Factorization of 7032


2 7032
2 3516
2 1758
3 879
293 293
1

Prime factors of 7032 are 2,3,293. Prime factorization of 7032 in exponential form is:

7032 = 23×31×2931

Prime Factorization of 7038


2 7038
3 3519
3 1173
17 391
23 23
1

Prime factors of 7038 are 2,3,17,23. Prime factorization of 7038 in exponential form is:

7038 = 21×32×171×231

∴ So by taking common prime factors GCF of 7032 and 7038 is 6

Greatest Common Factor of 7032 and 7038 by matching factors method

Factors of 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032

Factors of 7038

List of positive integer factors of 7038 that divides 7038 without a remainder.

1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038

Greatest Common Factor

We found the factors and prime factorization of 7032 and 7038. The biggest common factor number is the GCF number.
So the greatest common factor 7032 and 7038 is 6.

Also check out the Least Common Multiple of 7032 and 7038

Properties of GCF 7032 and 7038

(i) The GCF of 7032 and 7038 is associative

GCF of 7032 and 7038 = GCF of 7038 and 7032

Related Greatest Common Factor of 7032

Related Greatest Common Factor of 7038

Frequently Asked Questions on GCF of 7032 and 7038

1. What is the GCF of 7032 and 7038?

Answer: GCF of 7032 and 7038 is 6.

2. What are the Factors of 7032?

Answer: Factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032. There are 16 integers that are factors of 7032. The greatest factor of 7032 is 7032.

3. What are the Factors of 7038?

Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.

4. How to Find the GCF of 7032 and 7038?

Answer:

Greatest Common Factor of 7032 and 7038 = 6

Step 1: Find the prime factorization of 7032

7032 = 2 x 2 x 2 x 3 x 293

Step 2: Find the prime factorization of 7038

7038 = 2 x 3 x 3 x 17 x 23

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 7032 and 7038 is 6