Greatest Common Factor of 160 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 160, 168 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 160 and 168 is 8.

GCF(160,168) = 8

GCF of 160 and 168

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

GCF of:
and

Greatest Common Factor of 160 and 168

GCF of 160 and 168 is 8

Prime Factorization of 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

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 160 and 168 is 8

Greatest Common Factor of 160 and 168 by matching factors method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

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 160 and 168. The biggest common factor number is the GCF number.
So the greatest common factor 160 and 168 is 8.

Also check out the Least Common Multiple of 160 and 168

Properties of GCF 160 and 168

(i) The GCF of 160 and 168 is associative

GCF of 160 and 168 = GCF of 168 and 160

Related Greatest Common Factor of 160

Related Greatest Common Factor of 168

Frequently Asked Questions on GCF of 160 and 168

1. What is the GCF of 160 and 168?

Answer: GCF of 160 and 168 is 8.

2. What are the Factors of 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

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 160 and 168?

Answer:

Greatest Common Factor of 160 and 168 = 8

Step 1: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 160 and 168 is 8