Greatest Common Factor of 158 and 166

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 158, 166 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 158 and 166 is 2.

GCF(158,166) = 2

GCF of 158 and 166

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

GCF of:
and

Greatest Common Factor of 158 and 166

GCF of 158 and 166 is 2

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

Prime Factorization of 166


2 166
83 83
1

Prime factors of 166 are 2,83. Prime factorization of 166 in exponential form is:

166 = 21×831

∴ So by taking common prime factors GCF of 158 and 166 is 2

Greatest Common Factor of 158 and 166 by matching factors method

Factors of 158

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

1,2,79,158

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors and prime factorization of 158 and 166. The biggest common factor number is the GCF number.
So the greatest common factor 158 and 166 is 2.

Also check out the Least Common Multiple of 158 and 166

Properties of GCF 158 and 166

(i) The GCF of 158 and 166 is associative

GCF of 158 and 166 = GCF of 166 and 158

Related Greatest Common Factor of 158

Related Greatest Common Factor of 166

Frequently Asked Questions on GCF of 158 and 166

1. What is the GCF of 158 and 166?

Answer: GCF of 158 and 166 is 2.

2. 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.

3. What are the Factors of 166?

Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.

4. How to Find the GCF of 158 and 166?

Answer:

Greatest Common Factor of 158 and 166 = 2

Step 1: Find the prime factorization of 158

158 = 2 x 79

Step 2: Find the prime factorization of 166

166 = 2 x 83

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 158 and 166 is 2