What is the Greatest Common Factor of 33447 and 33453?

Greatest common factor (GCF) of 33447 and 33453 is 3.

GCF(33447,33453) = 3

We will now calculate the prime factors of 33447 and 33453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33447 and 33453.

How to find the GCF of 33447 and 33453?

We will first find the prime factorization of 33447 and 33453. After we will calculate the factors of 33447 and 33453 and find the biggest common factor number .

Step-1: Prime Factorization of 33447

Prime factors of 33447 are 3, 11149. Prime factorization of 33447 in exponential form is:

33447 = 3¹ × 11149¹

Step-2: Prime Factorization of 33453

Prime factors of 33453 are 3, 7, 59. Prime factorization of 33453 in exponential form is:

33453 = 3⁴ × 7¹ × 59¹

Step-3: Factors of 33447

List of positive integer factors of 33447 that divides 33447 without a remainder.

1, 3, 11149

Step-4: Factors of 33453

List of positive integer factors of 33453 that divides 33447 without a remainder.

1, 3, 7, 9, 21, 27, 59, 63, 81, 177, 189, 413, 531, 567, 1239, 1593, 3717, 4779, 11151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33447 and 33453. The biggest common factor number is the GCF number.
So the greatest common factor 33447 and 33453 is 3.

Also check out the Least Common Multiple of 33447 and 33453