Greatest Common Factor of 138 and 146

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 138, 146 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 138 and 146 is 2.

GCF(138,146) = 2

GCF of 138 and 146

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

GCF of:
and

Greatest Common Factor of 138 and 146

GCF of 138 and 146 is 2

Prime Factorization of 138


2 138
3 69
23 23
1

Prime factors of 138 are 2,3,23. Prime factorization of 138 in exponential form is:

138 = 21×31×231

Prime Factorization of 146


2 146
73 73
1

Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:

146 = 21×731

∴ So by taking common prime factors GCF of 138 and 146 is 2

Greatest Common Factor of 138 and 146 by matching factors method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors and prime factorization of 138 and 146. The biggest common factor number is the GCF number.
So the greatest common factor 138 and 146 is 2.

Also check out the Least Common Multiple of 138 and 146

Properties of GCF 138 and 146

(i) The GCF of 138 and 146 is associative

GCF of 138 and 146 = GCF of 146 and 138

Related Greatest Common Factor of 138

Related Greatest Common Factor of 146

Frequently Asked Questions on GCF of 138 and 146

1. What is the GCF of 138 and 146?

Answer: GCF of 138 and 146 is 2.

2. What are the Factors of 138?

Answer: Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. There are 8 integers that are factors of 138. The greatest factor of 138 is 138.

3. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

4. How to Find the GCF of 138 and 146?

Answer:

Greatest Common Factor of 138 and 146 = 2

Step 1: Find the prime factorization of 138

138 = 2 x 3 x 23

Step 2: Find the prime factorization of 146

146 = 2 x 73

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 138 and 146 is 2