What is the Greatest Common Factor of 33135 and 33149?

Greatest common factor (GCF) of 33135 and 33149 is 1.

GCF(33135,33149) = 1

We will now calculate the prime factors of 33135 and 33149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33135 and 33149.

How to find the GCF of 33135 and 33149?

We will first find the prime factorization of 33135 and 33149. After we will calculate the factors of 33135 and 33149 and find the biggest common factor number .

Step-1: Prime Factorization of 33135

Prime factors of 33135 are 3, 5, 47. Prime factorization of 33135 in exponential form is:

33135 = 3¹ × 5¹ × 47²

Step-2: Prime Factorization of 33149

Prime factors of 33149 are 33149. Prime factorization of 33149 in exponential form is:

33149 = 33149¹

Step-3: Factors of 33135

List of positive integer factors of 33135 that divides 33135 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705, 2209, 6627, 11045

Step-4: Factors of 33149

List of positive integer factors of 33149 that divides 33135 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33135 and 33149. The biggest common factor number is the GCF number.
So the greatest common factor 33135 and 33149 is 1.

Also check out the Least Common Multiple of 33135 and 33149