Greatest Common Factor of 150 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 150, 158 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 150 and 158 is 2.

GCF(150,158) = 2

GCF of 150 and 158

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

GCF of:
and

Greatest Common Factor of 150 and 158

GCF of 150 and 158 is 2

Prime Factorization of 150


2 150
3 75
5 25
5 5
1

Prime factors of 150 are 2,3,5. Prime factorization of 150 in exponential form is:

150 = 21×31×52

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 150 and 158 is 2

Greatest Common Factor of 150 and 158 by matching factors method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

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 150 and 158. The biggest common factor number is the GCF number.
So the greatest common factor 150 and 158 is 2.

Also check out the Least Common Multiple of 150 and 158

Properties of GCF 150 and 158

(i) The GCF of 150 and 158 is associative

GCF of 150 and 158 = GCF of 158 and 150

Related Greatest Common Factor of 150

Related Greatest Common Factor of 158

Frequently Asked Questions on GCF of 150 and 158

1. What is the GCF of 150 and 158?

Answer: GCF of 150 and 158 is 2.

2. What are the Factors of 150?

Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.

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 150 and 158?

Answer:

Greatest Common Factor of 150 and 158 = 2

Step 1: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

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 = 2

Step 4: Therefore, the greatest common factor of 150 and 158 is 2