Greatest Common Factor of 156 and 162

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 156, 162 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 156 and 162 is 6.

GCF(156,162) = 6

GCF of 156 and 162

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

GCF of:
and

Greatest Common Factor of 156 and 162

GCF of 156 and 162 is 6

Prime Factorization of 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2,3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

Prime Factorization of 162


2 162
3 81
3 27
3 9
3 3
1

Prime factors of 162 are 2,3. Prime factorization of 162 in exponential form is:

162 = 21×34

∴ So by taking common prime factors GCF of 156 and 162 is 6

Greatest Common Factor of 156 and 162 by matching factors method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors and prime factorization of 156 and 162. The biggest common factor number is the GCF number.
So the greatest common factor 156 and 162 is 6.

Also check out the Least Common Multiple of 156 and 162

Properties of GCF 156 and 162

(i) The GCF of 156 and 162 is associative

GCF of 156 and 162 = GCF of 162 and 156

Related Greatest Common Factor of 156

Related Greatest Common Factor of 162

Frequently Asked Questions on GCF of 156 and 162

1. What is the GCF of 156 and 162?

Answer: GCF of 156 and 162 is 6.

2. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

3. What are the Factors of 162?

Answer: Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.

4. How to Find the GCF of 156 and 162?

Answer:

Greatest Common Factor of 156 and 162 = 6

Step 1: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

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 156 and 162 is 6