Greatest Common Factor of 6132 and 6138

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 6132, 6138 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6132 and 6138 is 6.

GCF(6132,6138) = 6

GCF of 6132 and 6138

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

GCF of:
and

Greatest Common Factor of 6132 and 6138

GCF of 6132 and 6138 is 6

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

Prime Factorization of 6138


2 6138
3 3069
3 1023
11 341
31 31
1

Prime factors of 6138 are 2,3,11,31. Prime factorization of 6138 in exponential form is:

6138 = 21×32×111×311

∴ So by taking common prime factors GCF of 6132 and 6138 is 6

Greatest Common Factor of 6132 and 6138 by matching factors method

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

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138

Greatest Common Factor

We found the factors and prime factorization of 6132 and 6138. The biggest common factor number is the GCF number.
So the greatest common factor 6132 and 6138 is 6.

Also check out the Least Common Multiple of 6132 and 6138

Properties of GCF 6132 and 6138

(i) The GCF of 6132 and 6138 is associative

GCF of 6132 and 6138 = GCF of 6138 and 6132

Related Greatest Common Factor of 6132

Related Greatest Common Factor of 6138

Frequently Asked Questions on GCF of 6132 and 6138

1. What is the GCF of 6132 and 6138?

Answer: GCF of 6132 and 6138 is 6.

2. 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.

3. What are the Factors of 6138?

Answer: Factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138. There are 24 integers that are factors of 6138. The greatest factor of 6138 is 6138.

4. How to Find the GCF of 6132 and 6138?

Answer:

Greatest Common Factor of 6132 and 6138 = 6

Step 1: Find the prime factorization of 6132

6132 = 2 x 2 x 3 x 7 x 73

Step 2: Find the prime factorization of 6138

6138 = 2 x 3 x 3 x 11 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6132 and 6138 is 6