Greatest Common Factor of 7404 and 7408

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 7404, 7408 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7404 and 7408 is 4.

GCF(7404,7408) = 4

GCF of 7404 and 7408

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

GCF of:
and

Greatest Common Factor of 7404 and 7408

GCF of 7404 and 7408 is 4

Prime Factorization of 7404


2 7404
2 3702
3 1851
617 617
1

Prime factors of 7404 are 2,3,617. Prime factorization of 7404 in exponential form is:

7404 = 22×31×6171

Prime Factorization of 7408


2 7408
2 3704
2 1852
2 926
463 463
1

Prime factors of 7408 are 2,463. Prime factorization of 7408 in exponential form is:

7408 = 24×4631

∴ So by taking common prime factors GCF of 7404 and 7408 is 4

Greatest Common Factor of 7404 and 7408 by matching factors method

Factors of 7404

List of positive integer factors of 7404 that divides 7404 without a remainder.

1,2,3,4,6,12,617,1234,1851,2468,3702,7404

Factors of 7408

List of positive integer factors of 7408 that divides 7408 without a remainder.

1,2,4,8,16,463,926,1852,3704,7408

Greatest Common Factor

We found the factors and prime factorization of 7404 and 7408. The biggest common factor number is the GCF number.
So the greatest common factor 7404 and 7408 is 4.

Also check out the Least Common Multiple of 7404 and 7408

Properties of GCF 7404 and 7408

(i) The GCF of 7404 and 7408 is associative

GCF of 7404 and 7408 = GCF of 7408 and 7404

Related Greatest Common Factor of 7404

Related Greatest Common Factor of 7408

Frequently Asked Questions on GCF of 7404 and 7408

1. What is the GCF of 7404 and 7408?

Answer: GCF of 7404 and 7408 is 4.

2. What are the Factors of 7404?

Answer: Factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404. There are 12 integers that are factors of 7404. The greatest factor of 7404 is 7404.

3. What are the Factors of 7408?

Answer: Factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408. There are 10 integers that are factors of 7408. The greatest factor of 7408 is 7408.

4. How to Find the GCF of 7404 and 7408?

Answer:

Greatest Common Factor of 7404 and 7408 = 4

Step 1: Find the prime factorization of 7404

7404 = 2 x 2 x 3 x 617

Step 2: Find the prime factorization of 7408

7408 = 2 x 2 x 2 x 2 x 463

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 7404 and 7408 is 4