What is the Greatest Common Factor of 33294 and 33305?

Greatest common factor (GCF) of 33294 and 33305 is 1.

GCF(33294,33305) = 1

We will now calculate the prime factors of 33294 and 33305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33294 and 33305.

How to find the GCF of 33294 and 33305?

We will first find the prime factorization of 33294 and 33305. After we will calculate the factors of 33294 and 33305 and find the biggest common factor number .

Step-1: Prime Factorization of 33294

Prime factors of 33294 are 2, 3, 31, 179. Prime factorization of 33294 in exponential form is:

33294 = 2¹ × 3¹ × 31¹ × 179¹

Step-2: Prime Factorization of 33305

Prime factors of 33305 are 5, 6661. Prime factorization of 33305 in exponential form is:

33305 = 5¹ × 6661¹

Step-3: Factors of 33294

List of positive integer factors of 33294 that divides 33294 without a remainder.

1, 2, 3, 6, 31, 62, 93, 179, 186, 358, 537, 1074, 5549, 11098, 16647

Step-4: Factors of 33305

List of positive integer factors of 33305 that divides 33294 without a remainder.

1, 5, 6661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33294 and 33305. The biggest common factor number is the GCF number.
So the greatest common factor 33294 and 33305 is 1.

Also check out the Least Common Multiple of 33294 and 33305