Greatest Common Factor of 7436 and 7438

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 7436, 7438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7436 and 7438 is 2.

GCF(7436,7438) = 2

GCF of 7436 and 7438

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

GCF of:
and

Greatest Common Factor of 7436 and 7438

GCF of 7436 and 7438 is 2

Prime Factorization of 7436


2 7436
2 3718
11 1859
13 169
13 13
1

Prime factors of 7436 are 2,11,13. Prime factorization of 7436 in exponential form is:

7436 = 22×111×132

Prime Factorization of 7438


2 7438
3719 3719
1

Prime factors of 7438 are 2,3719. Prime factorization of 7438 in exponential form is:

7438 = 21×37191

∴ So by taking common prime factors GCF of 7436 and 7438 is 2

Greatest Common Factor of 7436 and 7438 by matching factors method

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1,2,3719,7438

Greatest Common Factor

We found the factors and prime factorization of 7436 and 7438. The biggest common factor number is the GCF number.
So the greatest common factor 7436 and 7438 is 2.

Also check out the Least Common Multiple of 7436 and 7438

Properties of GCF 7436 and 7438

(i) The GCF of 7436 and 7438 is associative

GCF of 7436 and 7438 = GCF of 7438 and 7436

Related Greatest Common Factor of 7436

Related Greatest Common Factor of 7438

Frequently Asked Questions on GCF of 7436 and 7438

1. What is the GCF of 7436 and 7438?

Answer: GCF of 7436 and 7438 is 2.

2. What are the Factors of 7436?

Answer: Factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436. There are 18 integers that are factors of 7436. The greatest factor of 7436 is 7436.

3. What are the Factors of 7438?

Answer: Factors of 7438 are 1, 2, 3719, 7438. There are 4 integers that are factors of 7438. The greatest factor of 7438 is 7438.

4. How to Find the GCF of 7436 and 7438?

Answer:

Greatest Common Factor of 7436 and 7438 = 2

Step 1: Find the prime factorization of 7436

7436 = 2 x 2 x 11 x 13 x 13

Step 2: Find the prime factorization of 7438

7438 = 2 x 3719

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 7436 and 7438 is 2