Greatest Common Factor of 6156 and 6162

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 6156, 6162 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6156 and 6162 is 6.

GCF(6156,6162) = 6

GCF of 6156 and 6162

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

GCF of:
and

Greatest Common Factor of 6156 and 6162

GCF of 6156 and 6162 is 6

Prime Factorization of 6156


2 6156
2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 6156 are 2,3,19. Prime factorization of 6156 in exponential form is:

6156 = 22×34×191

Prime Factorization of 6162


2 6162
3 3081
13 1027
79 79
1

Prime factors of 6162 are 2,3,13,79. Prime factorization of 6162 in exponential form is:

6162 = 21×31×131×791

∴ So by taking common prime factors GCF of 6156 and 6162 is 6

Greatest Common Factor of 6156 and 6162 by matching factors method

Factors of 6156

List of positive integer factors of 6156 that divides 6156 without a remainder.

1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,81,108,114,162,171,228,324,342,513,684,1026,1539,2052,3078,6156

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162

Greatest Common Factor

We found the factors and prime factorization of 6156 and 6162. The biggest common factor number is the GCF number.
So the greatest common factor 6156 and 6162 is 6.

Also check out the Least Common Multiple of 6156 and 6162

Properties of GCF 6156 and 6162

(i) The GCF of 6156 and 6162 is associative

GCF of 6156 and 6162 = GCF of 6162 and 6156

Related Greatest Common Factor of 6156

Related Greatest Common Factor of 6162

Frequently Asked Questions on GCF of 6156 and 6162

1. What is the GCF of 6156 and 6162?

Answer: GCF of 6156 and 6162 is 6.

2. What are the Factors of 6156?

Answer: Factors of 6156 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156. There are 30 integers that are factors of 6156. The greatest factor of 6156 is 6156.

3. What are the Factors of 6162?

Answer: Factors of 6162 are 1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162. There are 16 integers that are factors of 6162. The greatest factor of 6162 is 6162.

4. How to Find the GCF of 6156 and 6162?

Answer:

Greatest Common Factor of 6156 and 6162 = 6

Step 1: Find the prime factorization of 6156

6156 = 2 x 2 x 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 6162

6162 = 2 x 3 x 13 x 79

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 6156 and 6162 is 6