What is the Greatest Common Factor of 78344 and 78358?

Greatest common factor (GCF) of 78344 and 78358 is 14.

GCF(78344,78358) = 14

We will now calculate the prime factors of 78344 and 78358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78344 and 78358.

How to find the GCF of 78344 and 78358?

We will first find the prime factorization of 78344 and 78358. After we will calculate the factors of 78344 and 78358 and find the biggest common factor number .

Step-1: Prime Factorization of 78344

Prime factors of 78344 are 2, 7, 1399. Prime factorization of 78344 in exponential form is:

78344 = 2³ × 7¹ × 1399¹

Step-2: Prime Factorization of 78358

Prime factors of 78358 are 2, 7, 29, 193. Prime factorization of 78358 in exponential form is:

78358 = 2¹ × 7¹ × 29¹ × 193¹

Step-3: Factors of 78344

List of positive integer factors of 78344 that divides 78344 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1399, 2798, 5596, 9793, 11192, 19586, 39172

Step-4: Factors of 78358

List of positive integer factors of 78358 that divides 78344 without a remainder.

1, 2, 7, 14, 29, 58, 193, 203, 386, 406, 1351, 2702, 5597, 11194, 39179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78344 and 78358. The biggest common factor number is the GCF number.
So the greatest common factor 78344 and 78358 is 14.

Also check out the Least Common Multiple of 78344 and 78358