Greatest Common Factor of 7425 and 7426

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 7425, 7426 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7425 and 7426 is 1.

GCF(7425,7426) = 1

GCF of 7425 and 7426

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

GCF of:
and

Greatest Common Factor of 7425 and 7426

GCF of 7425 and 7426 is 1

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

Prime Factorization of 7426


2 7426
47 3713
79 79
1

Prime factors of 7426 are 2,47,79. Prime factorization of 7426 in exponential form is:

7426 = 21×471×791

∴ So by taking common prime factors GCF of 7425 and 7426 is 1

Greatest Common Factor of 7425 and 7426 by matching factors method

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

Factors of 7426

List of positive integer factors of 7426 that divides 7426 without a remainder.

1,2,47,79,94,158,3713,7426

Greatest Common Factor

We found the factors and prime factorization of 7425 and 7426. The biggest common factor number is the GCF number.
So the greatest common factor 7425 and 7426 is 1.

Also check out the Least Common Multiple of 7425 and 7426

Properties of GCF 7425 and 7426

(i) The GCF of 7425 and 7426 is associative

GCF of 7425 and 7426 = GCF of 7426 and 7425

Related Greatest Common Factor of 7425

Related Greatest Common Factor of 7426

Frequently Asked Questions on GCF of 7425 and 7426

1. What is the GCF of 7425 and 7426?

Answer: GCF of 7425 and 7426 is 1.

2. 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.

3. What are the Factors of 7426?

Answer: Factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426. There are 8 integers that are factors of 7426. The greatest factor of 7426 is 7426.

4. How to Find the GCF of 7425 and 7426?

Answer:

Greatest Common Factor of 7425 and 7426 = 1

Step 1: Find the prime factorization of 7425

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

Step 2: Find the prime factorization of 7426

7426 = 2 x 47 x 79

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 7425 and 7426 is 1