What is the Greatest Common Factor of 17265 and 17283?

Greatest common factor (GCF) of 17265 and 17283 is 3.

GCF(17265,17283) = 3

We will now calculate the prime factors of 17265 and 17283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17265 and 17283.

How to find the GCF of 17265 and 17283?

We will first find the prime factorization of 17265 and 17283. After we will calculate the factors of 17265 and 17283 and find the biggest common factor number .

Step-1: Prime Factorization of 17265

Prime factors of 17265 are 3, 5, 1151. Prime factorization of 17265 in exponential form is:

17265 = 3¹ × 5¹ × 1151¹

Step-2: Prime Factorization of 17283

Prime factors of 17283 are 3, 7, 823. Prime factorization of 17283 in exponential form is:

17283 = 3¹ × 7¹ × 823¹

Step-3: Factors of 17265

List of positive integer factors of 17265 that divides 17265 without a remainder.

1, 3, 5, 15, 1151, 3453, 5755

Step-4: Factors of 17283

List of positive integer factors of 17283 that divides 17265 without a remainder.

1, 3, 7, 21, 823, 2469, 5761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17265 and 17283. The biggest common factor number is the GCF number.
So the greatest common factor 17265 and 17283 is 3.

Also check out the Least Common Multiple of 17265 and 17283