What is the Greatest Common Factor of 33337 and 33349?

Greatest common factor (GCF) of 33337 and 33349 is 1.

GCF(33337,33349) = 1

We will now calculate the prime factors of 33337 and 33349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33337 and 33349.

How to find the GCF of 33337 and 33349?

We will first find the prime factorization of 33337 and 33349. After we will calculate the factors of 33337 and 33349 and find the biggest common factor number .

Step-1: Prime Factorization of 33337

Prime factors of 33337 are 17, 37, 53. Prime factorization of 33337 in exponential form is:

33337 = 17¹ × 37¹ × 53¹

Step-2: Prime Factorization of 33349

Prime factors of 33349 are 33349. Prime factorization of 33349 in exponential form is:

33349 = 33349¹

Step-3: Factors of 33337

List of positive integer factors of 33337 that divides 33337 without a remainder.

1, 17, 37, 53, 629, 901, 1961

Step-4: Factors of 33349

List of positive integer factors of 33349 that divides 33337 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33337 and 33349. The biggest common factor number is the GCF number.
So the greatest common factor 33337 and 33349 is 1.

Also check out the Least Common Multiple of 33337 and 33349