What is the Greatest Common Factor of 17272 and 17289?

Greatest common factor (GCF) of 17272 and 17289 is 17.

GCF(17272,17289) = 17

We will now calculate the prime factors of 17272 and 17289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17272 and 17289.

How to find the GCF of 17272 and 17289?

We will first find the prime factorization of 17272 and 17289. After we will calculate the factors of 17272 and 17289 and find the biggest common factor number .

Step-1: Prime Factorization of 17272

Prime factors of 17272 are 2, 17, 127. Prime factorization of 17272 in exponential form is:

17272 = 2³ × 17¹ × 127¹

Step-2: 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-3: Factors of 17272

List of positive integer factors of 17272 that divides 17272 without a remainder.

1, 2, 4, 8, 17, 34, 68, 127, 136, 254, 508, 1016, 2159, 4318, 8636

Step-4: Factors of 17289

List of positive integer factors of 17289 that divides 17272 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17272 and 17289. The biggest common factor number is the GCF number.
So the greatest common factor 17272 and 17289 is 17.

Also check out the Least Common Multiple of 17272 and 17289