Greatest Common Factor of 160 and 164

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, 164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 160 and 164 is 4.

GCF(160,164) = 4

GCF of 160 and 164

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

GCF of:
and

Greatest Common Factor of 160 and 164

GCF of 160 and 164 is 4

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 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

∴ So by taking common prime factors GCF of 160 and 164 is 4

Greatest Common Factor of 160 and 164 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 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors and prime factorization of 160 and 164. The biggest common factor number is the GCF number.
So the greatest common factor 160 and 164 is 4.

Also check out the Least Common Multiple of 160 and 164

Properties of GCF 160 and 164

(i) The GCF of 160 and 164 is associative

GCF of 160 and 164 = GCF of 164 and 160

Related Greatest Common Factor of 160

Related Greatest Common Factor of 164

Frequently Asked Questions on GCF of 160 and 164

1. What is the GCF of 160 and 164?

Answer: GCF of 160 and 164 is 4.

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 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

4. How to Find the GCF of 160 and 164?

Answer:

Greatest Common Factor of 160 and 164 = 4

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 164

164 = 2 x 2 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 160 and 164 is 4