Greatest Common Factor of 9142 and 9149

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 9142, 9149 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9142 and 9149 is 7.

GCF(9142,9149) = 7

GCF of 9142 and 9149

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

GCF of:
and

Greatest Common Factor of 9142 and 9149

GCF of 9142 and 9149 is 7

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

Prime Factorization of 9149


7 9149
1307 1307
1

Prime factors of 9149 are 7,1307. Prime factorization of 9149 in exponential form is:

9149 = 71×13071

∴ So by taking common prime factors GCF of 9142 and 9149 is 7

Greatest Common Factor of 9142 and 9149 by matching factors method

Factors of 9142

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

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

Factors of 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1,7,1307,9149

Greatest Common Factor

We found the factors and prime factorization of 9142 and 9149. The biggest common factor number is the GCF number.
So the greatest common factor 9142 and 9149 is 7.

Also check out the Least Common Multiple of 9142 and 9149

Properties of GCF 9142 and 9149

(i) The GCF of 9142 and 9149 is associative

GCF of 9142 and 9149 = GCF of 9149 and 9142

Related Greatest Common Factor of 9142

Related Greatest Common Factor of 9149

Frequently Asked Questions on GCF of 9142 and 9149

1. What is the GCF of 9142 and 9149?

Answer: GCF of 9142 and 9149 is 7.

2. 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.

3. What are the Factors of 9149?

Answer: Factors of 9149 are 1, 7, 1307, 9149. There are 4 integers that are factors of 9149. The greatest factor of 9149 is 9149.

4. How to Find the GCF of 9142 and 9149?

Answer:

Greatest Common Factor of 9142 and 9149 = 7

Step 1: Find the prime factorization of 9142

9142 = 2 x 7 x 653

Step 2: Find the prime factorization of 9149

9149 = 7 x 1307

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9142 and 9149 is 7