What is the Greatest Common Factor of 17259 and 17268?

Greatest common factor (GCF) of 17259 and 17268 is 3.

GCF(17259,17268) = 3

We will now calculate the prime factors of 17259 and 17268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17259 and 17268.

How to find the GCF of 17259 and 17268?

We will first find the prime factorization of 17259 and 17268. After we will calculate the factors of 17259 and 17268 and find the biggest common factor number .

Step-1: Prime Factorization of 17259

Prime factors of 17259 are 3, 11, 523. Prime factorization of 17259 in exponential form is:

17259 = 3¹ × 11¹ × 523¹

Step-2: 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-3: Factors of 17259

List of positive integer factors of 17259 that divides 17259 without a remainder.

1, 3, 11, 33, 523, 1569, 5753

Step-4: Factors of 17268

List of positive integer factors of 17268 that divides 17259 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17259 and 17268. The biggest common factor number is the GCF number.
So the greatest common factor 17259 and 17268 is 3.

Also check out the Least Common Multiple of 17259 and 17268