Greatest Common Factor of 9153 and 9159

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 9153, 9159 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9153 and 9159 is 3.

GCF(9153,9159) = 3

GCF of 9153 and 9159

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

GCF of:
and

Greatest Common Factor of 9153 and 9159

GCF of 9153 and 9159 is 3

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

Prime Factorization of 9159


3 9159
43 3053
71 71
1

Prime factors of 9159 are 3,43,71. Prime factorization of 9159 in exponential form is:

9159 = 31×431×711

∴ So by taking common prime factors GCF of 9153 and 9159 is 3

Greatest Common Factor of 9153 and 9159 by matching factors method

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

Factors of 9159

List of positive integer factors of 9159 that divides 9159 without a remainder.

1,3,43,71,129,213,3053,9159

Greatest Common Factor

We found the factors and prime factorization of 9153 and 9159. The biggest common factor number is the GCF number.
So the greatest common factor 9153 and 9159 is 3.

Also check out the Least Common Multiple of 9153 and 9159

Properties of GCF 9153 and 9159

(i) The GCF of 9153 and 9159 is associative

GCF of 9153 and 9159 = GCF of 9159 and 9153

Related Greatest Common Factor of 9153

Related Greatest Common Factor of 9159

Frequently Asked Questions on GCF of 9153 and 9159

1. What is the GCF of 9153 and 9159?

Answer: GCF of 9153 and 9159 is 3.

2. 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.

3. What are the Factors of 9159?

Answer: Factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159. There are 8 integers that are factors of 9159. The greatest factor of 9159 is 9159.

4. How to Find the GCF of 9153 and 9159?

Answer:

Greatest Common Factor of 9153 and 9159 = 3

Step 1: Find the prime factorization of 9153

9153 = 3 x 3 x 3 x 3 x 113

Step 2: Find the prime factorization of 9159

9159 = 3 x 43 x 71

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 9153 and 9159 is 3