What is the Greatest Common Factor of 34378 and 34398?

Greatest common factor (GCF) of 34378 and 34398 is 2.

GCF(34378,34398) = 2

We will now calculate the prime factors of 34378 and 34398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34378 and 34398.

How to find the GCF of 34378 and 34398?

We will first find the prime factorization of 34378 and 34398. After we will calculate the factors of 34378 and 34398 and find the biggest common factor number .

Step-1: Prime Factorization of 34378

Prime factors of 34378 are 2, 17189. Prime factorization of 34378 in exponential form is:

34378 = 2¹ × 17189¹

Step-2: 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-3: Factors of 34378

List of positive integer factors of 34378 that divides 34378 without a remainder.

1, 2, 17189

Step-4: Factors of 34398

List of positive integer factors of 34398 that divides 34378 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34378 and 34398. The biggest common factor number is the GCF number.
So the greatest common factor 34378 and 34398 is 2.

Also check out the Least Common Multiple of 34378 and 34398