Greatest Common Factor of 9134 and 9138

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, 9138 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9134 and 9138 is 2.

GCF(9134,9138) = 2

GCF of 9134 and 9138

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

GCF of:
and

Greatest Common Factor of 9134 and 9138

GCF of 9134 and 9138 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 9138


2 9138
3 4569
1523 1523
1

Prime factors of 9138 are 2,3,1523. Prime factorization of 9138 in exponential form is:

9138 = 21×31×15231

∴ So by taking common prime factors GCF of 9134 and 9138 is 2

Greatest Common Factor of 9134 and 9138 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 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Greatest Common Factor

We found the factors and prime factorization of 9134 and 9138. The biggest common factor number is the GCF number.
So the greatest common factor 9134 and 9138 is 2.

Also check out the Least Common Multiple of 9134 and 9138

Properties of GCF 9134 and 9138

(i) The GCF of 9134 and 9138 is associative

GCF of 9134 and 9138 = GCF of 9138 and 9134

Related Greatest Common Factor of 9134

Related Greatest Common Factor of 9138

Frequently Asked Questions on GCF of 9134 and 9138

1. What is the GCF of 9134 and 9138?

Answer: GCF of 9134 and 9138 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 9138?

Answer: Factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138. There are 8 integers that are factors of 9138. The greatest factor of 9138 is 9138.

4. How to Find the GCF of 9134 and 9138?

Answer:

Greatest Common Factor of 9134 and 9138 = 2

Step 1: Find the prime factorization of 9134

9134 = 2 x 4567

Step 2: Find the prime factorization of 9138

9138 = 2 x 3 x 1523

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 9138 is 2