Greatest Common Factor of 138 and 143

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

Greatest common factor (GCF) of 138 and 143 is 1.

GCF(138,143) = 1

GCF of 138 and 143

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

GCF of:
and

Greatest Common Factor of 138 and 143

GCF of 138 and 143 is 1

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 143


11 143
13 13
1

Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:

143 = 111×131

∴ So by taking common prime factors GCF of 138 and 143 is 1

Greatest Common Factor of 138 and 143 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 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors and prime factorization of 138 and 143. The biggest common factor number is the GCF number.
So the greatest common factor 138 and 143 is 1.

Also check out the Least Common Multiple of 138 and 143

Properties of GCF 138 and 143

(i) The GCF of 138 and 143 is associative

GCF of 138 and 143 = GCF of 143 and 138

Related Greatest Common Factor of 138

Related Greatest Common Factor of 143

Frequently Asked Questions on GCF of 138 and 143

1. What is the GCF of 138 and 143?

Answer: GCF of 138 and 143 is 1.

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 143?

Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.

4. How to Find the GCF of 138 and 143?

Answer:

Greatest Common Factor of 138 and 143 = 1

Step 1: Find the prime factorization of 138

138 = 2 x 3 x 23

Step 2: Find the prime factorization of 143

143 = 11 x 13

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 138 and 143 is 1