What is the Greatest Common Factor of 33294 and 33311?

Greatest common factor (GCF) of 33294 and 33311 is 1.

GCF(33294,33311) = 1

We will now calculate the prime factors of 33294 and 33311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33294 and 33311.

How to find the GCF of 33294 and 33311?

We will first find the prime factorization of 33294 and 33311. After we will calculate the factors of 33294 and 33311 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 33311

Prime factors of 33311 are 33311. Prime factorization of 33311 in exponential form is:

33311 = 33311¹

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 33311

List of positive integer factors of 33311 that divides 33294 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33294 and 33311. The biggest common factor number is the GCF number.
So the greatest common factor 33294 and 33311 is 1.

Also check out the Least Common Multiple of 33294 and 33311