Greatest Common Factor of 9134 and 9140

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 9134, 9140 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9134 and 9140 is 2.

GCF(9134,9140) = 2

GCF of 9134 and 9140

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

GCF of:
and

Greatest Common Factor of 9134 and 9140

GCF of 9134 and 9140 is 2

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

Prime Factorization of 9140


2 9140
2 4570
5 2285
457 457
1

Prime factors of 9140 are 2,5,457. Prime factorization of 9140 in exponential form is:

9140 = 22×51×4571

∴ So by taking common prime factors GCF of 9134 and 9140 is 2

Greatest Common Factor of 9134 and 9140 by matching factors method

Factors of 9134

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

1,2,4567,9134

Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1,2,4,5,10,20,457,914,1828,2285,4570,9140

Greatest Common Factor

We found the factors and prime factorization of 9134 and 9140. The biggest common factor number is the GCF number.
So the greatest common factor 9134 and 9140 is 2.

Also check out the Least Common Multiple of 9134 and 9140

Properties of GCF 9134 and 9140

(i) The GCF of 9134 and 9140 is associative

GCF of 9134 and 9140 = GCF of 9140 and 9134

Related Greatest Common Factor of 9134

Related Greatest Common Factor of 9140

Frequently Asked Questions on GCF of 9134 and 9140

1. What is the GCF of 9134 and 9140?

Answer: GCF of 9134 and 9140 is 2.

2. 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.

3. What are the Factors of 9140?

Answer: Factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140. There are 12 integers that are factors of 9140. The greatest factor of 9140 is 9140.

4. How to Find the GCF of 9134 and 9140?

Answer:

Greatest Common Factor of 9134 and 9140 = 2

Step 1: Find the prime factorization of 9134

9134 = 2 x 4567

Step 2: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 9134 and 9140 is 2