Greatest Common Factor of 135 and 141

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, 141 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 135 and 141 is 3.

GCF(135,141) = 3

GCF of 135 and 141

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

GCF of:
and

Greatest Common Factor of 135 and 141

GCF of 135 and 141 is 3

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 141


3 141
47 47
1

Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:

141 = 31×471

∴ So by taking common prime factors GCF of 135 and 141 is 3

Greatest Common Factor of 135 and 141 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 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors and prime factorization of 135 and 141. The biggest common factor number is the GCF number.
So the greatest common factor 135 and 141 is 3.

Also check out the Least Common Multiple of 135 and 141

Properties of GCF 135 and 141

(i) The GCF of 135 and 141 is associative

GCF of 135 and 141 = GCF of 141 and 135

Related Greatest Common Factor of 135

Related Greatest Common Factor of 141

Frequently Asked Questions on GCF of 135 and 141

1. What is the GCF of 135 and 141?

Answer: GCF of 135 and 141 is 3.

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 141?

Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.

4. How to Find the GCF of 135 and 141?

Answer:

Greatest Common Factor of 135 and 141 = 3

Step 1: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 141

141 = 3 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 135 and 141 is 3