Greatest Common Factor of 7425 and 7433

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, 7433 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7425 and 7433 is 1.

GCF(7425,7433) = 1

GCF of 7425 and 7433

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

GCF of:
and

Greatest Common Factor of 7425 and 7433

GCF of 7425 and 7433 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 7433


7433 7433
1

Prime factors of 7433 are 7433. Prime factorization of 7433 in exponential form is:

7433 = 74331

∴ So by taking common prime factors GCF of 7425 and 7433 is 1

Greatest Common Factor of 7425 and 7433 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 7433

List of positive integer factors of 7433 that divides 7433 without a remainder.

1,7433

Greatest Common Factor

We found the factors and prime factorization of 7425 and 7433. The biggest common factor number is the GCF number.
So the greatest common factor 7425 and 7433 is 1.

Also check out the Least Common Multiple of 7425 and 7433

Properties of GCF 7425 and 7433

(i) The GCF of 7425 and 7433 is associative

GCF of 7425 and 7433 = GCF of 7433 and 7425

Frequently Asked Questions on GCF of 7425 and 7433

1. What is the GCF of 7425 and 7433?

Answer: GCF of 7425 and 7433 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 7433?

Answer: Factors of 7433 are 1, 7433. There are 2 integers that are factors of 7433. The greatest factor of 7433 is 7433.

4. How to Find the GCF of 7425 and 7433?

Answer:

Greatest Common Factor of 7425 and 7433 = 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 7433

7433 = 7433

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 7433 is 1