Greatest Common Factor of 9925 and 9931

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 9925, 9931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9925 and 9931 is 1.

GCF(9925,9931) = 1

GCF of 9925 and 9931

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

GCF of:
and

Greatest Common Factor of 9925 and 9931

GCF of 9925 and 9931 is 1

Prime Factorization of 9925


5 9925
5 1985
397 397
1

Prime factors of 9925 are 5,397. Prime factorization of 9925 in exponential form is:

9925 = 52×3971

Prime Factorization of 9931


9931 9931
1

Prime factors of 9931 are 9931. Prime factorization of 9931 in exponential form is:

9931 = 99311

∴ So by taking common prime factors GCF of 9925 and 9931 is 1

Greatest Common Factor of 9925 and 9931 by matching factors method

Factors of 9925

List of positive integer factors of 9925 that divides 9925 without a remainder.

1,5,25,397,1985,9925

Factors of 9931

List of positive integer factors of 9931 that divides 9931 without a remainder.

1,9931

Greatest Common Factor

We found the factors and prime factorization of 9925 and 9931. The biggest common factor number is the GCF number.
So the greatest common factor 9925 and 9931 is 1.

Also check out the Least Common Multiple of 9925 and 9931

Properties of GCF 9925 and 9931

(i) The GCF of 9925 and 9931 is associative

GCF of 9925 and 9931 = GCF of 9931 and 9925

Related Greatest Common Factor of 9925

Related Greatest Common Factor of 9931

Frequently Asked Questions on GCF of 9925 and 9931

1. What is the GCF of 9925 and 9931?

Answer: GCF of 9925 and 9931 is 1.

2. What are the Factors of 9925?

Answer: Factors of 9925 are 1, 5, 25, 397, 1985, 9925. There are 6 integers that are factors of 9925. The greatest factor of 9925 is 9925.

3. What are the Factors of 9931?

Answer: Factors of 9931 are 1, 9931. There are 2 integers that are factors of 9931. The greatest factor of 9931 is 9931.

4. How to Find the GCF of 9925 and 9931?

Answer:

Greatest Common Factor of 9925 and 9931 = 1

Step 1: Find the prime factorization of 9925

9925 = 5 x 5 x 397

Step 2: Find the prime factorization of 9931

9931 = 9931

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 9925 and 9931 is 1