What is the Greatest Common Factor of 17350 and 17365?

Greatest common factor (GCF) of 17350 and 17365 is 5.

GCF(17350,17365) = 5

We will now calculate the prime factors of 17350 and 17365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17350 and 17365.

How to find the GCF of 17350 and 17365?

We will first find the prime factorization of 17350 and 17365. After we will calculate the factors of 17350 and 17365 and find the biggest common factor number .

Step-1: Prime Factorization of 17350

Prime factors of 17350 are 2, 5, 347. Prime factorization of 17350 in exponential form is:

17350 = 2¹ × 5² × 347¹

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 17350

List of positive integer factors of 17350 that divides 17350 without a remainder.

1, 2, 5, 10, 25, 50, 347, 694, 1735, 3470, 8675

Step-4: Factors of 17365

List of positive integer factors of 17365 that divides 17350 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17350 and 17365. The biggest common factor number is the GCF number.
So the greatest common factor 17350 and 17365 is 5.

Also check out the Least Common Multiple of 17350 and 17365