What is the Greatest Common Factor of 17109 and 17127?

Greatest common factor (GCF) of 17109 and 17127 is 9.

GCF(17109,17127) = 9

We will now calculate the prime factors of 17109 and 17127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17109 and 17127.

How to find the GCF of 17109 and 17127?

We will first find the prime factorization of 17109 and 17127. After we will calculate the factors of 17109 and 17127 and find the biggest common factor number .

Step-1: Prime Factorization of 17109

Prime factors of 17109 are 3, 1901. Prime factorization of 17109 in exponential form is:

17109 = 3² × 1901¹

Step-2: Prime Factorization of 17127

Prime factors of 17127 are 3, 11, 173. Prime factorization of 17127 in exponential form is:

17127 = 3² × 11¹ × 173¹

Step-3: Factors of 17109

List of positive integer factors of 17109 that divides 17109 without a remainder.

1, 3, 9, 1901, 5703

Step-4: Factors of 17127

List of positive integer factors of 17127 that divides 17109 without a remainder.

1, 3, 9, 11, 33, 99, 173, 519, 1557, 1903, 5709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17109 and 17127. The biggest common factor number is the GCF number.
So the greatest common factor 17109 and 17127 is 9.

Also check out the Least Common Multiple of 17109 and 17127