Greatest Common Factor of 160 and 176

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, 176 i.e. 16 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 160 and 176 is 16.

GCF(160,176) = 16

GCF of 160 and 176

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

GCF of:
and

Greatest Common Factor of 160 and 176

GCF of 160 and 176 is 16

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 176


2 176
2 88
2 44
2 22
11 11
1

Prime factors of 176 are 2,11. Prime factorization of 176 in exponential form is:

176 = 24×111

∴ So by taking common prime factors GCF of 160 and 176 is 16

Greatest Common Factor of 160 and 176 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 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors and prime factorization of 160 and 176. The biggest common factor number is the GCF number.
So the greatest common factor 160 and 176 is 16.

Also check out the Least Common Multiple of 160 and 176

Properties of GCF 160 and 176

(i) The GCF of 160 and 176 is associative

GCF of 160 and 176 = GCF of 176 and 160

Related Greatest Common Factor of 160

Related Greatest Common Factor of 176

Frequently Asked Questions on GCF of 160 and 176

1. What is the GCF of 160 and 176?

Answer: GCF of 160 and 176 is 16.

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 176?

Answer: Factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176. There are 10 integers that are factors of 176. The greatest factor of 176 is 176.

4. How to Find the GCF of 160 and 176?

Answer:

Greatest Common Factor of 160 and 176 = 16

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 176

176 = 2 x 2 x 2 x 2 x 11

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 x 2 = 16

Step 4: Therefore, the greatest common factor of 160 and 176 is 16