Greatest Common Factor of 9147 and 9153

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 9147, 9153 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9147 and 9153 is 3.

GCF(9147,9153) = 3

GCF of 9147 and 9153

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

GCF of:
and

Greatest Common Factor of 9147 and 9153

GCF of 9147 and 9153 is 3

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

Prime Factorization of 9153


3 9153
3 3051
3 1017
3 339
113 113
1

Prime factors of 9153 are 3,113. Prime factorization of 9153 in exponential form is:

9153 = 34×1131

∴ So by taking common prime factors GCF of 9147 and 9153 is 3

Greatest Common Factor of 9147 and 9153 by matching factors method

Factors of 9147

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

1,3,3049,9147

Factors of 9153

List of positive integer factors of 9153 that divides 9153 without a remainder.

1,3,9,27,81,113,339,1017,3051,9153

Greatest Common Factor

We found the factors and prime factorization of 9147 and 9153. The biggest common factor number is the GCF number.
So the greatest common factor 9147 and 9153 is 3.

Also check out the Least Common Multiple of 9147 and 9153

Properties of GCF 9147 and 9153

(i) The GCF of 9147 and 9153 is associative

GCF of 9147 and 9153 = GCF of 9153 and 9147

Related Greatest Common Factor of 9147

Related Greatest Common Factor of 9153

Frequently Asked Questions on GCF of 9147 and 9153

1. What is the GCF of 9147 and 9153?

Answer: GCF of 9147 and 9153 is 3.

2. 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.

3. What are the Factors of 9153?

Answer: Factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153. There are 10 integers that are factors of 9153. The greatest factor of 9153 is 9153.

4. How to Find the GCF of 9147 and 9153?

Answer:

Greatest Common Factor of 9147 and 9153 = 3

Step 1: Find the prime factorization of 9147

9147 = 3 x 3049

Step 2: Find the prime factorization of 9153

9153 = 3 x 3 x 3 x 3 x 113

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 9147 and 9153 is 3