Greatest Common Factor of 162 and 168

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 162, 168 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 162 and 168 is 6.

GCF(162,168) = 6

GCF of 162 and 168

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

GCF of:
and

Greatest Common Factor of 162 and 168

GCF of 162 and 168 is 6

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

Prime Factorization of 168


2 168
2 84
2 42
3 21
7 7
1

Prime factors of 168 are 2,3,7. Prime factorization of 168 in exponential form is:

168 = 23×31×71

∴ So by taking common prime factors GCF of 162 and 168 is 6

Greatest Common Factor of 162 and 168 by matching factors method

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

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors and prime factorization of 162 and 168. The biggest common factor number is the GCF number.
So the greatest common factor 162 and 168 is 6.

Also check out the Least Common Multiple of 162 and 168

Properties of GCF 162 and 168

(i) The GCF of 162 and 168 is associative

GCF of 162 and 168 = GCF of 168 and 162

Related Greatest Common Factor of 162

Related Greatest Common Factor of 168

Frequently Asked Questions on GCF of 162 and 168

1. What is the GCF of 162 and 168?

Answer: GCF of 162 and 168 is 6.

2. 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.

3. What are the Factors of 168?

Answer: Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168. There are 16 integers that are factors of 168. The greatest factor of 168 is 168.

4. How to Find the GCF of 162 and 168?

Answer:

Greatest Common Factor of 162 and 168 = 6

Step 1: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 168

168 = 2 x 2 x 2 x 3 x 7

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 162 and 168 is 6