Greatest Common Factor of 3159 and 3165

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 3159, 3165 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3159 and 3165 is 3.

GCF(3159,3165) = 3

GCF of 3159 and 3165

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

GCF of:
and

Greatest Common Factor of 3159 and 3165

GCF of 3159 and 3165 is 3

Prime Factorization of 3159


3 3159
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 3159 are 3,13. Prime factorization of 3159 in exponential form is:

3159 = 35×131

Prime Factorization of 3165


3 3165
5 1055
211 211
1

Prime factors of 3165 are 3,5,211. Prime factorization of 3165 in exponential form is:

3165 = 31×51×2111

∴ So by taking common prime factors GCF of 3159 and 3165 is 3

Greatest Common Factor of 3159 and 3165 by matching factors method

Factors of 3159

List of positive integer factors of 3159 that divides 3159 without a remainder.

1,3,9,13,27,39,81,117,243,351,1053,3159

Factors of 3165

List of positive integer factors of 3165 that divides 3165 without a remainder.

1,3,5,15,211,633,1055,3165

Greatest Common Factor

We found the factors and prime factorization of 3159 and 3165. The biggest common factor number is the GCF number.
So the greatest common factor 3159 and 3165 is 3.

Also check out the Least Common Multiple of 3159 and 3165

Properties of GCF 3159 and 3165

(i) The GCF of 3159 and 3165 is associative

GCF of 3159 and 3165 = GCF of 3165 and 3159

Related Greatest Common Factor of 3159

Related Greatest Common Factor of 3165

Frequently Asked Questions on GCF of 3159 and 3165

1. What is the GCF of 3159 and 3165?

Answer: GCF of 3159 and 3165 is 3.

2. What are the Factors of 3159?

Answer: Factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159. There are 12 integers that are factors of 3159. The greatest factor of 3159 is 3159.

3. What are the Factors of 3165?

Answer: Factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165. There are 8 integers that are factors of 3165. The greatest factor of 3165 is 3165.

4. How to Find the GCF of 3159 and 3165?

Answer:

Greatest Common Factor of 3159 and 3165 = 3

Step 1: Find the prime factorization of 3159

3159 = 3 x 3 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 3165

3165 = 3 x 5 x 211

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 3159 and 3165 is 3