What is the Greatest Common Factor of 33289 and 33307?

Greatest common factor (GCF) of 33289 and 33307 is 1.

GCF(33289,33307) = 1

We will now calculate the prime factors of 33289 and 33307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33289 and 33307.

How to find the GCF of 33289 and 33307?

We will first find the prime factorization of 33289 and 33307. After we will calculate the factors of 33289 and 33307 and find the biggest common factor number .

Step-1: Prime Factorization of 33289

Prime factors of 33289 are 33289. Prime factorization of 33289 in exponential form is:

33289 = 33289¹

Step-2: Prime Factorization of 33307

Prime factors of 33307 are 19, 1753. Prime factorization of 33307 in exponential form is:

33307 = 19¹ × 1753¹

Step-3: Factors of 33289

List of positive integer factors of 33289 that divides 33289 without a remainder.

Step-4: Factors of 33307

List of positive integer factors of 33307 that divides 33289 without a remainder.

1, 19, 1753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33289 and 33307. The biggest common factor number is the GCF number.
So the greatest common factor 33289 and 33307 is 1.

Also check out the Least Common Multiple of 33289 and 33307