What is the Greatest Common Factor of 17365 and 17383?

Greatest common factor (GCF) of 17365 and 17383 is 1.

GCF(17365,17383) = 1

We will now calculate the prime factors of 17365 and 17383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17365 and 17383.

How to find the GCF of 17365 and 17383?

We will first find the prime factorization of 17365 and 17383. After we will calculate the factors of 17365 and 17383 and find the biggest common factor number .

Step-1: Prime Factorization of 17365

Prime factors of 17365 are 5, 23, 151. Prime factorization of 17365 in exponential form is:

17365 = 5¹ × 23¹ × 151¹

Step-2: Prime Factorization of 17383

Prime factors of 17383 are 17383. Prime factorization of 17383 in exponential form is:

17383 = 17383¹

Step-3: Factors of 17365

List of positive integer factors of 17365 that divides 17365 without a remainder.

1, 5, 23, 115, 151, 755, 3473

Step-4: Factors of 17383

List of positive integer factors of 17383 that divides 17365 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17365 and 17383. The biggest common factor number is the GCF number.
So the greatest common factor 17365 and 17383 is 1.

Also check out the Least Common Multiple of 17365 and 17383