Greatest Common Factor of 9134 and 9142

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, 9142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9134 and 9142 is 2.

GCF(9134,9142) = 2

GCF of 9134 and 9142

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

GCF of:
and

Greatest Common Factor of 9134 and 9142

GCF of 9134 and 9142 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 9142


2 9142
7 4571
653 653
1

Prime factors of 9142 are 2,7,653. Prime factorization of 9142 in exponential form is:

9142 = 21×71×6531

∴ So by taking common prime factors GCF of 9134 and 9142 is 2

Greatest Common Factor of 9134 and 9142 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 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1,2,7,14,653,1306,4571,9142

Greatest Common Factor

We found the factors and prime factorization of 9134 and 9142. The biggest common factor number is the GCF number.
So the greatest common factor 9134 and 9142 is 2.

Also check out the Least Common Multiple of 9134 and 9142

Properties of GCF 9134 and 9142

(i) The GCF of 9134 and 9142 is associative

GCF of 9134 and 9142 = GCF of 9142 and 9134

Related Greatest Common Factor of 9134

Related Greatest Common Factor of 9142

Frequently Asked Questions on GCF of 9134 and 9142

1. What is the GCF of 9134 and 9142?

Answer: GCF of 9134 and 9142 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 9142?

Answer: Factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142. There are 8 integers that are factors of 9142. The greatest factor of 9142 is 9142.

4. How to Find the GCF of 9134 and 9142?

Answer:

Greatest Common Factor of 9134 and 9142 = 2

Step 1: Find the prime factorization of 9134

9134 = 2 x 4567

Step 2: Find the prime factorization of 9142

9142 = 2 x 7 x 653

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 9142 is 2