What is the Greatest Common Factor of 17253 and 17259?

Greatest common factor (GCF) of 17253 and 17259 is 3.

GCF(17253,17259) = 3

We will now calculate the prime factors of 17253 and 17259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17253 and 17259.

How to find the GCF of 17253 and 17259?

We will first find the prime factorization of 17253 and 17259. After we will calculate the factors of 17253 and 17259 and find the biggest common factor number .

Step-1: Prime Factorization of 17253

Prime factors of 17253 are 3, 71. Prime factorization of 17253 in exponential form is:

17253 = 3⁵ × 71¹

Step-2: 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-3: Factors of 17253

List of positive integer factors of 17253 that divides 17253 without a remainder.

1, 3, 9, 27, 71, 81, 213, 243, 639, 1917, 5751

Step-4: Factors of 17259

List of positive integer factors of 17259 that divides 17253 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17253 and 17259. The biggest common factor number is the GCF number.
So the greatest common factor 17253 and 17259 is 3.

Also check out the Least Common Multiple of 17253 and 17259