Greatest Common Factor of 7038 and 7046

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 7038, 7046 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7038 and 7046 is 2.

GCF(7038,7046) = 2

GCF of 7038 and 7046

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

GCF of:
and

Greatest Common Factor of 7038 and 7046

GCF of 7038 and 7046 is 2

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

Prime Factorization of 7046


2 7046
13 3523
271 271
1

Prime factors of 7046 are 2,13,271. Prime factorization of 7046 in exponential form is:

7046 = 21×131×2711

∴ So by taking common prime factors GCF of 7038 and 7046 is 2

Greatest Common Factor of 7038 and 7046 by matching factors method

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

Factors of 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1,2,13,26,271,542,3523,7046

Greatest Common Factor

We found the factors and prime factorization of 7038 and 7046. The biggest common factor number is the GCF number.
So the greatest common factor 7038 and 7046 is 2.

Also check out the Least Common Multiple of 7038 and 7046

Properties of GCF 7038 and 7046

(i) The GCF of 7038 and 7046 is associative

GCF of 7038 and 7046 = GCF of 7046 and 7038

Related Greatest Common Factor of 7038

Related Greatest Common Factor of 7046

Frequently Asked Questions on GCF of 7038 and 7046

1. What is the GCF of 7038 and 7046?

Answer: GCF of 7038 and 7046 is 2.

2. 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.

3. What are the Factors of 7046?

Answer: Factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046. There are 8 integers that are factors of 7046. The greatest factor of 7046 is 7046.

4. How to Find the GCF of 7038 and 7046?

Answer:

Greatest Common Factor of 7038 and 7046 = 2

Step 1: Find the prime factorization of 7038

7038 = 2 x 3 x 3 x 17 x 23

Step 2: Find the prime factorization of 7046

7046 = 2 x 13 x 271

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7038 and 7046 is 2