Greatest Common Factor of 155 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 155, 160 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 155 and 160 is 5.

GCF(155,160) = 5

GCF of 155 and 160

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

GCF of:
and

Greatest Common Factor of 155 and 160

GCF of 155 and 160 is 5

Prime Factorization of 155


5 155
31 31
1

Prime factors of 155 are 5,31. Prime factorization of 155 in exponential form is:

155 = 51×311

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 155 and 160 is 5

Greatest Common Factor of 155 and 160 by matching factors method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

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 155 and 160. The biggest common factor number is the GCF number.
So the greatest common factor 155 and 160 is 5.

Also check out the Least Common Multiple of 155 and 160

Properties of GCF 155 and 160

(i) The GCF of 155 and 160 is associative

GCF of 155 and 160 = GCF of 160 and 155

Related Greatest Common Factor of 155

Related Greatest Common Factor of 160

Frequently Asked Questions on GCF of 155 and 160

1. What is the GCF of 155 and 160?

Answer: GCF of 155 and 160 is 5.

2. What are the Factors of 155?

Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.

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 155 and 160?

Answer:

Greatest Common Factor of 155 and 160 = 5

Step 1: Find the prime factorization of 155

155 = 5 x 31

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 = 5

Step 4: Therefore, the greatest common factor of 155 and 160 is 5