What is the Greatest Common Factor of 17349 and 17367?

Greatest common factor (GCF) of 17349 and 17367 is 3.

GCF(17349,17367) = 3

We will now calculate the prime factors of 17349 and 17367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17349 and 17367.

How to find the GCF of 17349 and 17367?

We will first find the prime factorization of 17349 and 17367. After we will calculate the factors of 17349 and 17367 and find the biggest common factor number .

Step-1: Prime Factorization of 17349

Prime factors of 17349 are 3, 5783. Prime factorization of 17349 in exponential form is:

17349 = 3¹ × 5783¹

Step-2: Prime Factorization of 17367

Prime factors of 17367 are 3, 7, 827. Prime factorization of 17367 in exponential form is:

17367 = 3¹ × 7¹ × 827¹

Step-3: Factors of 17349

List of positive integer factors of 17349 that divides 17349 without a remainder.

1, 3, 5783

Step-4: Factors of 17367

List of positive integer factors of 17367 that divides 17349 without a remainder.

1, 3, 7, 21, 827, 2481, 5789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17349 and 17367. The biggest common factor number is the GCF number.
So the greatest common factor 17349 and 17367 is 3.

Also check out the Least Common Multiple of 17349 and 17367