What is the Greatest Common Factor of 33525 and 33543?

Greatest common factor (GCF) of 33525 and 33543 is 9.

GCF(33525,33543) = 9

We will now calculate the prime factors of 33525 and 33543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33525 and 33543.

How to find the GCF of 33525 and 33543?

We will first find the prime factorization of 33525 and 33543. After we will calculate the factors of 33525 and 33543 and find the biggest common factor number .

Step-1: Prime Factorization of 33525

Prime factors of 33525 are 3, 5, 149. Prime factorization of 33525 in exponential form is:

33525 = 3² × 5² × 149¹

Step-2: Prime Factorization of 33543

Prime factors of 33543 are 3, 3727. Prime factorization of 33543 in exponential form is:

33543 = 3² × 3727¹

Step-3: Factors of 33525

List of positive integer factors of 33525 that divides 33525 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 149, 225, 447, 745, 1341, 2235, 3725, 6705, 11175

Step-4: Factors of 33543

List of positive integer factors of 33543 that divides 33525 without a remainder.

1, 3, 9, 3727, 11181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33525 and 33543. The biggest common factor number is the GCF number.
So the greatest common factor 33525 and 33543 is 9.

Also check out the Least Common Multiple of 33525 and 33543