Greatest Common Factor of 9131 and 9134

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, 9134 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9131 and 9134 is 1.

GCF(9131,9134) = 1

GCF of 9131 and 9134

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

GCF of:
and

Greatest Common Factor of 9131 and 9134

GCF of 9131 and 9134 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 9134


2 9134
4567 4567
1

Prime factors of 9134 are 2,4567. Prime factorization of 9134 in exponential form is:

9134 = 21×45671

∴ So by taking common prime factors GCF of 9131 and 9134 is 1

Greatest Common Factor of 9131 and 9134 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 9134

List of positive integer factors of 9134 that divides 9134 without a remainder.

1,2,4567,9134

Greatest Common Factor

We found the factors and prime factorization of 9131 and 9134. The biggest common factor number is the GCF number.
So the greatest common factor 9131 and 9134 is 1.

Also check out the Least Common Multiple of 9131 and 9134

Properties of GCF 9131 and 9134

(i) The GCF of 9131 and 9134 is associative

GCF of 9131 and 9134 = GCF of 9134 and 9131

Related Greatest Common Factor of 9131

Related Greatest Common Factor of 9134

Frequently Asked Questions on GCF of 9131 and 9134

1. What is the GCF of 9131 and 9134?

Answer: GCF of 9131 and 9134 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 9134?

Answer: Factors of 9134 are 1, 2, 4567, 9134. There are 4 integers that are factors of 9134. The greatest factor of 9134 is 9134.

4. How to Find the GCF of 9131 and 9134?

Answer:

Greatest Common Factor of 9131 and 9134 = 1

Step 1: Find the prime factorization of 9131

9131 = 23 x 397

Step 2: Find the prime factorization of 9134

9134 = 2 x 4567

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 9134 is 1