What is the Greatest Common Factor of 135 and 141?

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

GCF(135,141) = 3

We will now calculate the prime factors of 135 and 141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 135 and 141.

How to find the GCF of 135 and 141?

We will first find the prime factorization of 135 and 141. After we will calculate the factors of 135 and 141 and find the biggest common factor number .

Step-1: Prime Factorization of 135

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

135 = 3³ × 5¹

Step-2: Prime Factorization of 141

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

141 = 3¹ × 47¹

Step-3: Factors of 135

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

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

Step-4: Factors of 141

List of positive integer factors of 141 that divides 135 without a remainder.

1, 3, 47

Final Step: Biggest Common Factor Number

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