What is the Greatest Common Factor of 17265 and 17281?

Greatest common factor (GCF) of 17265 and 17281 is 1.

GCF(17265,17281) = 1

We will now calculate the prime factors of 17265 and 17281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17265 and 17281.

How to find the GCF of 17265 and 17281?

We will first find the prime factorization of 17265 and 17281. After we will calculate the factors of 17265 and 17281 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 17281

Prime factors of 17281 are 11, 1571. Prime factorization of 17281 in exponential form is:

17281 = 11¹ × 1571¹

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 17281

List of positive integer factors of 17281 that divides 17265 without a remainder.

1, 11, 1571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17265 and 17281. The biggest common factor number is the GCF number.
So the greatest common factor 17265 and 17281 is 1.

Also check out the Least Common Multiple of 17265 and 17281