Greatest Common Factor of 6129 and 6132

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 6129, 6132 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6129 and 6132 is 3.

GCF(6129,6132) = 3

GCF of 6129 and 6132

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

GCF of:
and

Greatest Common Factor of 6129 and 6132

GCF of 6129 and 6132 is 3

Prime Factorization of 6129


3 6129
3 2043
3 681
227 227
1

Prime factors of 6129 are 3,227. Prime factorization of 6129 in exponential form is:

6129 = 33×2271

Prime Factorization of 6132


2 6132
2 3066
3 1533
7 511
73 73
1

Prime factors of 6132 are 2,3,7,73. Prime factorization of 6132 in exponential form is:

6132 = 22×31×71×731

∴ So by taking common prime factors GCF of 6129 and 6132 is 3

Greatest Common Factor of 6129 and 6132 by matching factors method

Factors of 6129

List of positive integer factors of 6129 that divides 6129 without a remainder.

1,3,9,27,227,681,2043,6129

Factors of 6132

List of positive integer factors of 6132 that divides 6132 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132

Greatest Common Factor

We found the factors and prime factorization of 6129 and 6132. The biggest common factor number is the GCF number.
So the greatest common factor 6129 and 6132 is 3.

Also check out the Least Common Multiple of 6129 and 6132

Properties of GCF 6129 and 6132

(i) The GCF of 6129 and 6132 is associative

GCF of 6129 and 6132 = GCF of 6132 and 6129

Related Greatest Common Factor of 6129

Related Greatest Common Factor of 6132

Frequently Asked Questions on GCF of 6129 and 6132

1. What is the GCF of 6129 and 6132?

Answer: GCF of 6129 and 6132 is 3.

2. What are the Factors of 6129?

Answer: Factors of 6129 are 1, 3, 9, 27, 227, 681, 2043, 6129. There are 8 integers that are factors of 6129. The greatest factor of 6129 is 6129.

3. What are the Factors of 6132?

Answer: Factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132. There are 24 integers that are factors of 6132. The greatest factor of 6132 is 6132.

4. How to Find the GCF of 6129 and 6132?

Answer:

Greatest Common Factor of 6129 and 6132 = 3

Step 1: Find the prime factorization of 6129

6129 = 3 x 3 x 3 x 227

Step 2: Find the prime factorization of 6132

6132 = 2 x 2 x 3 x 7 x 73

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 6129 and 6132 is 3