What is the Greatest Common Factor of 17268 and 17287?

Greatest common factor (GCF) of 17268 and 17287 is 1.

GCF(17268,17287) = 1

We will now calculate the prime factors of 17268 and 17287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17268 and 17287.

How to find the GCF of 17268 and 17287?

We will first find the prime factorization of 17268 and 17287. After we will calculate the factors of 17268 and 17287 and find the biggest common factor number .

Step-1: Prime Factorization of 17268

Prime factors of 17268 are 2, 3, 1439. Prime factorization of 17268 in exponential form is:

17268 = 2² × 3¹ × 1439¹

Step-2: Prime Factorization of 17287

Prime factors of 17287 are 59, 293. Prime factorization of 17287 in exponential form is:

17287 = 59¹ × 293¹

Step-3: Factors of 17268

List of positive integer factors of 17268 that divides 17268 without a remainder.

1, 2, 3, 4, 6, 12, 1439, 2878, 4317, 5756, 8634

Step-4: Factors of 17287

List of positive integer factors of 17287 that divides 17268 without a remainder.

1, 59, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17268 and 17287. The biggest common factor number is the GCF number.
So the greatest common factor 17268 and 17287 is 1.

Also check out the Least Common Multiple of 17268 and 17287