Greatest Common Factor of 9125 and 9131

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 9125, 9131 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9125 and 9131 is 1.

GCF(9125,9131) = 1

GCF of 9125 and 9131

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

GCF of:
and

Greatest Common Factor of 9125 and 9131

GCF of 9125 and 9131 is 1

Prime Factorization of 9125


5 9125
5 1825
5 365
73 73
1

Prime factors of 9125 are 5,73. Prime factorization of 9125 in exponential form is:

9125 = 53×731

Prime Factorization of 9131


23 9131
397 397
1

Prime factors of 9131 are 23,397. Prime factorization of 9131 in exponential form is:

9131 = 231×3971

∴ So by taking common prime factors GCF of 9125 and 9131 is 1

Greatest Common Factor of 9125 and 9131 by matching factors method

Factors of 9125

List of positive integer factors of 9125 that divides 9125 without a remainder.

1,5,25,73,125,365,1825,9125

Factors of 9131

List of positive integer factors of 9131 that divides 9131 without a remainder.

1,23,397,9131

Greatest Common Factor

We found the factors and prime factorization of 9125 and 9131. The biggest common factor number is the GCF number.
So the greatest common factor 9125 and 9131 is 1.

Also check out the Least Common Multiple of 9125 and 9131

Properties of GCF 9125 and 9131

(i) The GCF of 9125 and 9131 is associative

GCF of 9125 and 9131 = GCF of 9131 and 9125

Related Greatest Common Factor of 9125

Related Greatest Common Factor of 9131

Frequently Asked Questions on GCF of 9125 and 9131

1. What is the GCF of 9125 and 9131?

Answer: GCF of 9125 and 9131 is 1.

2. What are the Factors of 9125?

Answer: Factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125. There are 8 integers that are factors of 9125. The greatest factor of 9125 is 9125.

3. What are the Factors of 9131?

Answer: Factors of 9131 are 1, 23, 397, 9131. There are 4 integers that are factors of 9131. The greatest factor of 9131 is 9131.

4. How to Find the GCF of 9125 and 9131?

Answer:

Greatest Common Factor of 9125 and 9131 = 1

Step 1: Find the prime factorization of 9125

9125 = 5 x 5 x 5 x 73

Step 2: Find the prime factorization of 9131

9131 = 23 x 397

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 9125 and 9131 is 1