What is the Greatest Common Factor of 33434 and 33453?

Greatest common factor (GCF) of 33434 and 33453 is 1.

GCF(33434,33453) = 1

We will now calculate the prime factors of 33434 and 33453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33434 and 33453.

How to find the GCF of 33434 and 33453?

We will first find the prime factorization of 33434 and 33453. After we will calculate the factors of 33434 and 33453 and find the biggest common factor number .

Step-1: Prime Factorization of 33434

Prime factors of 33434 are 2, 73, 229. Prime factorization of 33434 in exponential form is:

33434 = 2¹ × 73¹ × 229¹

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 33434

List of positive integer factors of 33434 that divides 33434 without a remainder.

1, 2, 73, 146, 229, 458, 16717

Step-4: Factors of 33453

List of positive integer factors of 33453 that divides 33434 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 33434 and 33453. The biggest common factor number is the GCF number.
So the greatest common factor 33434 and 33453 is 1.

Also check out the Least Common Multiple of 33434 and 33453