Greatest Common Factor of 135 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 135, 143 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 135 and 143 is 1.

GCF(135,143) = 1

GCF of 135 and 143

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

GCF of:
and

Greatest Common Factor of 135 and 143

GCF of 135 and 143 is 1

Prime Factorization of 135


3 135
3 45
3 15
5 5
1

Prime factors of 135 are 3,5. Prime factorization of 135 in exponential form is:

135 = 33×51

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 135 and 143 is 1

Greatest Common Factor of 135 and 143 by matching factors method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

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 135 and 143. The biggest common factor number is the GCF number.
So the greatest common factor 135 and 143 is 1.

Also check out the Least Common Multiple of 135 and 143

Properties of GCF 135 and 143

(i) The GCF of 135 and 143 is associative

GCF of 135 and 143 = GCF of 143 and 135

Related Greatest Common Factor of 135

Related Greatest Common Factor of 143

Frequently Asked Questions on GCF of 135 and 143

1. What is the GCF of 135 and 143?

Answer: GCF of 135 and 143 is 1.

2. What are the Factors of 135?

Answer: Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. There are 8 integers that are factors of 135. The greatest factor of 135 is 135.

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 135 and 143?

Answer:

Greatest Common Factor of 135 and 143 = 1

Step 1: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

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 135 and 143 is 1