Greatest Common Factor of 7400 and 7404

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 7400, 7404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7400 and 7404 is 4.

GCF(7400,7404) = 4

GCF of 7400 and 7404

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

GCF of:
and

Greatest Common Factor of 7400 and 7404

GCF of 7400 and 7404 is 4

Prime Factorization of 7400


2 7400
2 3700
2 1850
5 925
5 185
37 37
1

Prime factors of 7400 are 2,5,37. Prime factorization of 7400 in exponential form is:

7400 = 23×52×371

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

∴ So by taking common prime factors GCF of 7400 and 7404 is 4

Greatest Common Factor of 7400 and 7404 by matching factors method

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

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

Greatest Common Factor

We found the factors and prime factorization of 7400 and 7404. The biggest common factor number is the GCF number.
So the greatest common factor 7400 and 7404 is 4.

Also check out the Least Common Multiple of 7400 and 7404

Properties of GCF 7400 and 7404

(i) The GCF of 7400 and 7404 is associative

GCF of 7400 and 7404 = GCF of 7404 and 7400

Related Greatest Common Factor of 7400

Related Greatest Common Factor of 7404

Frequently Asked Questions on GCF of 7400 and 7404

1. What is the GCF of 7400 and 7404?

Answer: GCF of 7400 and 7404 is 4.

2. What are the Factors of 7400?

Answer: Factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400. There are 24 integers that are factors of 7400. The greatest factor of 7400 is 7400.

3. 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.

4. How to Find the GCF of 7400 and 7404?

Answer:

Greatest Common Factor of 7400 and 7404 = 4

Step 1: Find the prime factorization of 7400

7400 = 2 x 2 x 2 x 5 x 5 x 37

Step 2: Find the prime factorization of 7404

7404 = 2 x 2 x 3 x 617

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 7400 and 7404 is 4