Greatest Common Factor of 155 and 158

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, 158 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 155 and 158 is 1.

GCF(155,158) = 1

GCF of 155 and 158

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

GCF of:
and

Greatest Common Factor of 155 and 158

GCF of 155 and 158 is 1

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 158


2 158
79 79
1

Prime factors of 158 are 2,79. Prime factorization of 158 in exponential form is:

158 = 21×791

∴ So by taking common prime factors GCF of 155 and 158 is 1

Greatest Common Factor of 155 and 158 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 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors and prime factorization of 155 and 158. The biggest common factor number is the GCF number.
So the greatest common factor 155 and 158 is 1.

Also check out the Least Common Multiple of 155 and 158

Properties of GCF 155 and 158

(i) The GCF of 155 and 158 is associative

GCF of 155 and 158 = GCF of 158 and 155

Related Greatest Common Factor of 155

Related Greatest Common Factor of 158

Frequently Asked Questions on GCF of 155 and 158

1. What is the GCF of 155 and 158?

Answer: GCF of 155 and 158 is 1.

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 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

4. How to Find the GCF of 155 and 158?

Answer:

Greatest Common Factor of 155 and 158 = 1

Step 1: Find the prime factorization of 155

155 = 5 x 31

Step 2: Find the prime factorization of 158

158 = 2 x 79

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 155 and 158 is 1