What is the Greatest Common Factor of 17199 and 17219?

Greatest common factor (GCF) of 17199 and 17219 is 1.

GCF(17199,17219) = 1

We will now calculate the prime factors of 17199 and 17219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17199 and 17219.

How to find the GCF of 17199 and 17219?

We will first find the prime factorization of 17199 and 17219. After we will calculate the factors of 17199 and 17219 and find the biggest common factor number .

Step-1: Prime Factorization of 17199

Prime factors of 17199 are 3, 7, 13. Prime factorization of 17199 in exponential form is:

17199 = 3³ × 7² × 13¹

Step-2: Prime Factorization of 17219

Prime factors of 17219 are 67, 257. Prime factorization of 17219 in exponential form is:

17219 = 67¹ × 257¹

Step-3: Factors of 17199

List of positive integer factors of 17199 that divides 17199 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 49, 63, 91, 117, 147, 189, 273, 351, 441, 637, 819, 1323, 1911, 2457, 5733

Step-4: Factors of 17219

List of positive integer factors of 17219 that divides 17199 without a remainder.

1, 67, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17199 and 17219. The biggest common factor number is the GCF number.
So the greatest common factor 17199 and 17219 is 1.

Also check out the Least Common Multiple of 17199 and 17219