What is the Greatest Common Factor of 33441 and 33450?

Greatest common factor (GCF) of 33441 and 33450 is 3.

GCF(33441,33450) = 3

We will now calculate the prime factors of 33441 and 33450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33441 and 33450.

How to find the GCF of 33441 and 33450?

We will first find the prime factorization of 33441 and 33450. After we will calculate the factors of 33441 and 33450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33450

Prime factors of 33450 are 2, 3, 5, 223. Prime factorization of 33450 in exponential form is:

33450 = 2¹ × 3¹ × 5² × 223¹

Step-3: Factors of 33441

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

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

Step-4: Factors of 33450

List of positive integer factors of 33450 that divides 33441 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 223, 446, 669, 1115, 1338, 2230, 3345, 5575, 6690, 11150, 16725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33441 and 33450. The biggest common factor number is the GCF number.
So the greatest common factor 33441 and 33450 is 3.

Also check out the Least Common Multiple of 33441 and 33450