Greatest Common Factor of 156 and 160

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

Greatest common factor (GCF) of 156 and 160 is 4.

GCF(156,160) = 4

GCF of 156 and 160

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

GCF of:
and

Greatest Common Factor of 156 and 160

GCF of 156 and 160 is 4

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 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

∴ So by taking common prime factors GCF of 156 and 160 is 4

Greatest Common Factor of 156 and 160 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 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

Greatest Common Factor

We found the factors and prime factorization of 156 and 160. The biggest common factor number is the GCF number.
So the greatest common factor 156 and 160 is 4.

Also check out the Least Common Multiple of 156 and 160

Properties of GCF 156 and 160

(i) The GCF of 156 and 160 is associative

GCF of 156 and 160 = GCF of 160 and 156

Related Greatest Common Factor of 156

Related Greatest Common Factor of 160

Frequently Asked Questions on GCF of 156 and 160

1. What is the GCF of 156 and 160?

Answer: GCF of 156 and 160 is 4.

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 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.

4. How to Find the GCF of 156 and 160?

Answer:

Greatest Common Factor of 156 and 160 = 4

Step 1: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 160

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

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 156 and 160 is 4