Greatest Common Factor of 3129 and 3135

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 3129, 3135 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3129 and 3135 is 3.

GCF(3129,3135) = 3

GCF of 3129 and 3135

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

GCF of:
and

Greatest Common Factor of 3129 and 3135

GCF of 3129 and 3135 is 3

Prime Factorization of 3129


3 3129
7 1043
149 149
1

Prime factors of 3129 are 3,7,149. Prime factorization of 3129 in exponential form is:

3129 = 31×71×1491

Prime Factorization of 3135


3 3135
5 1045
11 209
19 19
1

Prime factors of 3135 are 3,5,11,19. Prime factorization of 3135 in exponential form is:

3135 = 31×51×111×191

∴ So by taking common prime factors GCF of 3129 and 3135 is 3

Greatest Common Factor of 3129 and 3135 by matching factors method

Factors of 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1,3,7,21,149,447,1043,3129

Factors of 3135

List of positive integer factors of 3135 that divides 3135 without a remainder.

1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135

Greatest Common Factor

We found the factors and prime factorization of 3129 and 3135. The biggest common factor number is the GCF number.
So the greatest common factor 3129 and 3135 is 3.

Also check out the Least Common Multiple of 3129 and 3135

Properties of GCF 3129 and 3135

(i) The GCF of 3129 and 3135 is associative

GCF of 3129 and 3135 = GCF of 3135 and 3129

Related Greatest Common Factor of 3129

Related Greatest Common Factor of 3135

Frequently Asked Questions on GCF of 3129 and 3135

1. What is the GCF of 3129 and 3135?

Answer: GCF of 3129 and 3135 is 3.

2. What are the Factors of 3129?

Answer: Factors of 3129 are 1, 3, 7, 21, 149, 447, 1043, 3129. There are 8 integers that are factors of 3129. The greatest factor of 3129 is 3129.

3. What are the Factors of 3135?

Answer: Factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135. There are 16 integers that are factors of 3135. The greatest factor of 3135 is 3135.

4. How to Find the GCF of 3129 and 3135?

Answer:

Greatest Common Factor of 3129 and 3135 = 3

Step 1: Find the prime factorization of 3129

3129 = 3 x 7 x 149

Step 2: Find the prime factorization of 3135

3135 = 3 x 5 x 11 x 19

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 3129 and 3135 is 3