Greatest Common Factor of 9418 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 9418, 9425 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9418 and 9425 is 1.

GCF(9418,9425) = 1

GCF of 9418 and 9425

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

GCF of:
and

Greatest Common Factor of 9418 and 9425

GCF of 9418 and 9425 is 1

Prime Factorization of 9418


2 9418
17 4709
277 277
1

Prime factors of 9418 are 2,17,277. Prime factorization of 9418 in exponential form is:

9418 = 21×171×2771

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 9418 and 9425 is 1

Greatest Common Factor of 9418 and 9425 by matching factors method

Factors of 9418

List of positive integer factors of 9418 that divides 9418 without a remainder.

1,2,17,34,277,554,4709,9418

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 9418 and 9425. The biggest common factor number is the GCF number.
So the greatest common factor 9418 and 9425 is 1.

Also check out the Least Common Multiple of 9418 and 9425

Properties of GCF 9418 and 9425

(i) The GCF of 9418 and 9425 is associative

GCF of 9418 and 9425 = GCF of 9425 and 9418

Frequently Asked Questions on GCF of 9418 and 9425

1. What is the GCF of 9418 and 9425?

Answer: GCF of 9418 and 9425 is 1.

2. What are the Factors of 9418?

Answer: Factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418. There are 8 integers that are factors of 9418. The greatest factor of 9418 is 9418.

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 9418 and 9425?

Answer:

Greatest Common Factor of 9418 and 9425 = 1

Step 1: Find the prime factorization of 9418

9418 = 2 x 17 x 277

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 = = 1

Step 4: Therefore, the greatest common factor of 9418 and 9425 is 1