What is the Greatest Common Factor of 33435 and 33441?

Greatest common factor (GCF) of 33435 and 33441 is 3.

GCF(33435,33441) = 3

We will now calculate the prime factors of 33435 and 33441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33435 and 33441.

How to find the GCF of 33435 and 33441?

We will first find the prime factorization of 33435 and 33441. After we will calculate the factors of 33435 and 33441 and find the biggest common factor number .

Step-1: Prime Factorization of 33435

Prime factors of 33435 are 3, 5, 743. Prime factorization of 33435 in exponential form is:

33435 = 3² × 5¹ × 743¹

Step-2: Prime Factorization of 33441

Prime factors of 33441 are 3, 71, 157. Prime factorization of 33441 in exponential form is:

33441 = 3¹ × 71¹ × 157¹

Step-3: Factors of 33435

List of positive integer factors of 33435 that divides 33435 without a remainder.

1, 3, 5, 9, 15, 45, 743, 2229, 3715, 6687, 11145

Step-4: Factors of 33441

List of positive integer factors of 33441 that divides 33435 without a remainder.

1, 3, 71, 157, 213, 471, 11147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33435 and 33441. The biggest common factor number is the GCF number.
So the greatest common factor 33435 and 33441 is 3.

Also check out the Least Common Multiple of 33435 and 33441