What is the Greatest Common Factor of 17289 and 17295?

Greatest common factor (GCF) of 17289 and 17295 is 3.

GCF(17289,17295) = 3

We will now calculate the prime factors of 17289 and 17295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17289 and 17295.

How to find the GCF of 17289 and 17295?

We will first find the prime factorization of 17289 and 17295. After we will calculate the factors of 17289 and 17295 and find the biggest common factor number .

Step-1: Prime Factorization of 17289

Prime factors of 17289 are 3, 17, 113. Prime factorization of 17289 in exponential form is:

17289 = 3² × 17¹ × 113¹

Step-2: Prime Factorization of 17295

Prime factors of 17295 are 3, 5, 1153. Prime factorization of 17295 in exponential form is:

17295 = 3¹ × 5¹ × 1153¹

Step-3: Factors of 17289

List of positive integer factors of 17289 that divides 17289 without a remainder.

1, 3, 9, 17, 51, 113, 153, 339, 1017, 1921, 5763

Step-4: Factors of 17295

List of positive integer factors of 17295 that divides 17289 without a remainder.

1, 3, 5, 15, 1153, 3459, 5765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17289 and 17295. The biggest common factor number is the GCF number.
So the greatest common factor 17289 and 17295 is 3.

Also check out the Least Common Multiple of 17289 and 17295