What is the Greatest Common Factor of 17367 and 17381?

Greatest common factor (GCF) of 17367 and 17381 is 7.

GCF(17367,17381) = 7

We will now calculate the prime factors of 17367 and 17381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17367 and 17381.

How to find the GCF of 17367 and 17381?

We will first find the prime factorization of 17367 and 17381. After we will calculate the factors of 17367 and 17381 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17381

Prime factors of 17381 are 7, 13, 191. Prime factorization of 17381 in exponential form is:

17381 = 7¹ × 13¹ × 191¹

Step-3: Factors of 17367

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

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

Step-4: Factors of 17381

List of positive integer factors of 17381 that divides 17367 without a remainder.

1, 7, 13, 91, 191, 1337, 2483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17367 and 17381. The biggest common factor number is the GCF number.
So the greatest common factor 17367 and 17381 is 7.

Also check out the Least Common Multiple of 17367 and 17381