Greatest Common Factor of 7421 and 7425

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 7421, 7425 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7421 and 7425 is 1.

GCF(7421,7425) = 1

GCF of 7421 and 7425

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

GCF of:
and

Greatest Common Factor of 7421 and 7425

GCF of 7421 and 7425 is 1

Prime Factorization of 7421


41 7421
181 181
1

Prime factors of 7421 are 41,181. Prime factorization of 7421 in exponential form is:

7421 = 411×1811

Prime Factorization of 7425


3 7425
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 7425 are 3,5,11. Prime factorization of 7425 in exponential form is:

7425 = 33×52×111

∴ So by taking common prime factors GCF of 7421 and 7425 is 1

Greatest Common Factor of 7421 and 7425 by matching factors method

Factors of 7421

List of positive integer factors of 7421 that divides 7421 without a remainder.

1,41,181,7421

Factors of 7425

List of positive integer factors of 7425 that divides 7425 without a remainder.

1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425

Greatest Common Factor

We found the factors and prime factorization of 7421 and 7425. The biggest common factor number is the GCF number.
So the greatest common factor 7421 and 7425 is 1.

Also check out the Least Common Multiple of 7421 and 7425

Properties of GCF 7421 and 7425

(i) The GCF of 7421 and 7425 is associative

GCF of 7421 and 7425 = GCF of 7425 and 7421

Related Greatest Common Factor of 7421

Related Greatest Common Factor of 7425

Frequently Asked Questions on GCF of 7421 and 7425

1. What is the GCF of 7421 and 7425?

Answer: GCF of 7421 and 7425 is 1.

2. What are the Factors of 7421?

Answer: Factors of 7421 are 1, 41, 181, 7421. There are 4 integers that are factors of 7421. The greatest factor of 7421 is 7421.

3. What are the Factors of 7425?

Answer: Factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425. There are 24 integers that are factors of 7425. The greatest factor of 7425 is 7425.

4. How to Find the GCF of 7421 and 7425?

Answer:

Greatest Common Factor of 7421 and 7425 = 1

Step 1: Find the prime factorization of 7421

7421 = 41 x 181

Step 2: Find the prime factorization of 7425

7425 = 3 x 3 x 3 x 5 x 5 x 11

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7421 and 7425 is 1