Greatest Common Factor of 9141 and 9147

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 9141, 9147 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9141 and 9147 is 3.

GCF(9141,9147) = 3

GCF of 9141 and 9147

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

GCF of:
and

Greatest Common Factor of 9141 and 9147

GCF of 9141 and 9147 is 3

Prime Factorization of 9141


3 9141
11 3047
277 277
1

Prime factors of 9141 are 3,11,277. Prime factorization of 9141 in exponential form is:

9141 = 31×111×2771

Prime Factorization of 9147


3 9147
3049 3049
1

Prime factors of 9147 are 3,3049. Prime factorization of 9147 in exponential form is:

9147 = 31×30491

∴ So by taking common prime factors GCF of 9141 and 9147 is 3

Greatest Common Factor of 9141 and 9147 by matching factors method

Factors of 9141

List of positive integer factors of 9141 that divides 9141 without a remainder.

1,3,11,33,277,831,3047,9141

Factors of 9147

List of positive integer factors of 9147 that divides 9147 without a remainder.

1,3,3049,9147

Greatest Common Factor

We found the factors and prime factorization of 9141 and 9147. The biggest common factor number is the GCF number.
So the greatest common factor 9141 and 9147 is 3.

Also check out the Least Common Multiple of 9141 and 9147

Properties of GCF 9141 and 9147

(i) The GCF of 9141 and 9147 is associative

GCF of 9141 and 9147 = GCF of 9147 and 9141

Related Greatest Common Factor of 9141

Related Greatest Common Factor of 9147

Frequently Asked Questions on GCF of 9141 and 9147

1. What is the GCF of 9141 and 9147?

Answer: GCF of 9141 and 9147 is 3.

2. What are the Factors of 9141?

Answer: Factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141. There are 8 integers that are factors of 9141. The greatest factor of 9141 is 9141.

3. What are the Factors of 9147?

Answer: Factors of 9147 are 1, 3, 3049, 9147. There are 4 integers that are factors of 9147. The greatest factor of 9147 is 9147.

4. How to Find the GCF of 9141 and 9147?

Answer:

Greatest Common Factor of 9141 and 9147 = 3

Step 1: Find the prime factorization of 9141

9141 = 3 x 11 x 277

Step 2: Find the prime factorization of 9147

9147 = 3 x 3049

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9141 and 9147 is 3