Greatest Common Factor of 9420 and 9425

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 9420, 9425 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9420 and 9425 is 5.

GCF(9420,9425) = 5

GCF of 9420 and 9425

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

GCF of:
and

Greatest Common Factor of 9420 and 9425

GCF of 9420 and 9425 is 5

Prime Factorization of 9420


2 9420
2 4710
3 2355
5 785
157 157
1

Prime factors of 9420 are 2,3,5,157. Prime factorization of 9420 in exponential form is:

9420 = 22×31×51×1571

Prime Factorization of 9425


5 9425
5 1885
13 377
29 29
1

Prime factors of 9425 are 5,13,29. Prime factorization of 9425 in exponential form is:

9425 = 52×131×291

∴ So by taking common prime factors GCF of 9420 and 9425 is 5

Greatest Common Factor of 9420 and 9425 by matching factors method

Factors of 9420

List of positive integer factors of 9420 that divides 9420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420

Factors of 9425

List of positive integer factors of 9425 that divides 9425 without a remainder.

1,5,13,25,29,65,145,325,377,725,1885,9425

Greatest Common Factor

We found the factors and prime factorization of 9420 and 9425. The biggest common factor number is the GCF number.
So the greatest common factor 9420 and 9425 is 5.

Also check out the Least Common Multiple of 9420 and 9425

Properties of GCF 9420 and 9425

(i) The GCF of 9420 and 9425 is associative

GCF of 9420 and 9425 = GCF of 9425 and 9420

Related Greatest Common Factor of 9420

Related Greatest Common Factor of 9425

Frequently Asked Questions on GCF of 9420 and 9425

1. What is the GCF of 9420 and 9425?

Answer: GCF of 9420 and 9425 is 5.

2. What are the Factors of 9420?

Answer: Factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420. There are 24 integers that are factors of 9420. The greatest factor of 9420 is 9420.

3. What are the Factors of 9425?

Answer: Factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425. There are 12 integers that are factors of 9425. The greatest factor of 9425 is 9425.

4. How to Find the GCF of 9420 and 9425?

Answer:

Greatest Common Factor of 9420 and 9425 = 5

Step 1: Find the prime factorization of 9420

9420 = 2 x 2 x 3 x 5 x 157

Step 2: Find the prime factorization of 9425

9425 = 5 x 5 x 13 x 29

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9420 and 9425 is 5