What is the Greatest Common Factor of 33291 and 33301?

Greatest common factor (GCF) of 33291 and 33301 is 1.

GCF(33291,33301) = 1

We will now calculate the prime factors of 33291 and 33301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33291 and 33301.

How to find the GCF of 33291 and 33301?

We will first find the prime factorization of 33291 and 33301. After we will calculate the factors of 33291 and 33301 and find the biggest common factor number .

Step-1: Prime Factorization of 33291

Prime factors of 33291 are 3, 137. Prime factorization of 33291 in exponential form is:

33291 = 3⁵ × 137¹

Step-2: Prime Factorization of 33301

Prime factors of 33301 are 33301. Prime factorization of 33301 in exponential form is:

33301 = 33301¹

Step-3: Factors of 33291

List of positive integer factors of 33291 that divides 33291 without a remainder.

1, 3, 9, 27, 81, 137, 243, 411, 1233, 3699, 11097

Step-4: Factors of 33301

List of positive integer factors of 33301 that divides 33291 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33291 and 33301. The biggest common factor number is the GCF number.
So the greatest common factor 33291 and 33301 is 1.

Also check out the Least Common Multiple of 33291 and 33301