Greatest Common Factor of 9131 and 9135

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 9131, 9135 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9131 and 9135 is 1.

GCF(9131,9135) = 1

GCF of 9131 and 9135

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

GCF of:
and

Greatest Common Factor of 9131 and 9135

GCF of 9131 and 9135 is 1

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

Prime Factorization of 9135


3 9135
3 3045
5 1015
7 203
29 29
1

Prime factors of 9135 are 3,5,7,29. Prime factorization of 9135 in exponential form is:

9135 = 32×51×71×291

∴ So by taking common prime factors GCF of 9131 and 9135 is 1

Greatest Common Factor of 9131 and 9135 by matching factors method

Factors of 9131

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

1,23,397,9131

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135

Greatest Common Factor

We found the factors and prime factorization of 9131 and 9135. The biggest common factor number is the GCF number.
So the greatest common factor 9131 and 9135 is 1.

Also check out the Least Common Multiple of 9131 and 9135

Properties of GCF 9131 and 9135

(i) The GCF of 9131 and 9135 is associative

GCF of 9131 and 9135 = GCF of 9135 and 9131

Related Greatest Common Factor of 9131

Related Greatest Common Factor of 9135

Frequently Asked Questions on GCF of 9131 and 9135

1. What is the GCF of 9131 and 9135?

Answer: GCF of 9131 and 9135 is 1.

2. 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.

3. What are the Factors of 9135?

Answer: Factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135. There are 24 integers that are factors of 9135. The greatest factor of 9135 is 9135.

4. How to Find the GCF of 9131 and 9135?

Answer:

Greatest Common Factor of 9131 and 9135 = 1

Step 1: Find the prime factorization of 9131

9131 = 23 x 397

Step 2: Find the prime factorization of 9135

9135 = 3 x 3 x 5 x 7 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 9131 and 9135 is 1