Greatest Common Factor of 7428 and 7436

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 7428, 7436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7428 and 7436 is 4.

GCF(7428,7436) = 4

GCF of 7428 and 7436

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

GCF of:
and

Greatest Common Factor of 7428 and 7436

GCF of 7428 and 7436 is 4

Prime Factorization of 7428


2 7428
2 3714
3 1857
619 619
1

Prime factors of 7428 are 2,3,619. Prime factorization of 7428 in exponential form is:

7428 = 22×31×6191

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

∴ So by taking common prime factors GCF of 7428 and 7436 is 4

Greatest Common Factor of 7428 and 7436 by matching factors method

Factors of 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1,2,3,4,6,12,619,1238,1857,2476,3714,7428

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

Greatest Common Factor

We found the factors and prime factorization of 7428 and 7436. The biggest common factor number is the GCF number.
So the greatest common factor 7428 and 7436 is 4.

Also check out the Least Common Multiple of 7428 and 7436

Properties of GCF 7428 and 7436

(i) The GCF of 7428 and 7436 is associative

GCF of 7428 and 7436 = GCF of 7436 and 7428

Related Greatest Common Factor of 7428

Related Greatest Common Factor of 7436

Frequently Asked Questions on GCF of 7428 and 7436

1. What is the GCF of 7428 and 7436?

Answer: GCF of 7428 and 7436 is 4.

2. What are the Factors of 7428?

Answer: Factors of 7428 are 1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428. There are 12 integers that are factors of 7428. The greatest factor of 7428 is 7428.

3. 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.

4. How to Find the GCF of 7428 and 7436?

Answer:

Greatest Common Factor of 7428 and 7436 = 4

Step 1: Find the prime factorization of 7428

7428 = 2 x 2 x 3 x 619

Step 2: Find the prime factorization of 7436

7436 = 2 x 2 x 11 x 13 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7428 and 7436 is 4