What is the Greatest Common Factor of 17345 and 17365?

Greatest common factor (GCF) of 17345 and 17365 is 5.

GCF(17345,17365) = 5

We will now calculate the prime factors of 17345 and 17365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17345 and 17365.

How to find the GCF of 17345 and 17365?

We will first find the prime factorization of 17345 and 17365. After we will calculate the factors of 17345 and 17365 and find the biggest common factor number .

Step-1: Prime Factorization of 17345

Prime factors of 17345 are 5, 3469. Prime factorization of 17345 in exponential form is:

17345 = 5¹ × 3469¹

Step-2: 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-3: Factors of 17345

List of positive integer factors of 17345 that divides 17345 without a remainder.

1, 5, 3469

Step-4: Factors of 17365

List of positive integer factors of 17365 that divides 17345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17345 and 17365. The biggest common factor number is the GCF number.
So the greatest common factor 17345 and 17365 is 5.

Also check out the Least Common Multiple of 17345 and 17365