What is the Greatest Common Factor of 34398 and 34417?

Greatest common factor (GCF) of 34398 and 34417 is 1.

GCF(34398,34417) = 1

We will now calculate the prime factors of 34398 and 34417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34398 and 34417.

How to find the GCF of 34398 and 34417?

We will first find the prime factorization of 34398 and 34417. After we will calculate the factors of 34398 and 34417 and find the biggest common factor number .

Step-1: Prime Factorization of 34398

Prime factors of 34398 are 2, 3, 7, 13. Prime factorization of 34398 in exponential form is:

34398 = 2¹ × 3³ × 7² × 13¹

Step-2: Prime Factorization of 34417

Prime factors of 34417 are 127, 271. Prime factorization of 34417 in exponential form is:

34417 = 127¹ × 271¹

Step-3: Factors of 34398

List of positive integer factors of 34398 that divides 34398 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 49, 54, 63, 78, 91, 98, 117, 126, 147, 182, 189, 234, 273, 294, 351, 378, 441, 546, 637, 702, 819, 882, 1274, 1323, 1638, 1911, 2457, 2646, 3822, 4914, 5733, 11466, 17199

Step-4: Factors of 34417

List of positive integer factors of 34417 that divides 34398 without a remainder.

1, 127, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34398 and 34417. The biggest common factor number is the GCF number.
So the greatest common factor 34398 and 34417 is 1.

Also check out the Least Common Multiple of 34398 and 34417