What is the Greatest Common Factor of 78358 and 78364?

Greatest common factor (GCF) of 78358 and 78364 is 2.

GCF(78358,78364) = 2

We will now calculate the prime factors of 78358 and 78364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78358 and 78364.

How to find the GCF of 78358 and 78364?

We will first find the prime factorization of 78358 and 78364. After we will calculate the factors of 78358 and 78364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78364

Prime factors of 78364 are 2, 11, 13, 137. Prime factorization of 78364 in exponential form is:

78364 = 2² × 11¹ × 13¹ × 137¹

Step-3: Factors of 78358

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

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

Step-4: Factors of 78364

List of positive integer factors of 78364 that divides 78358 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 137, 143, 274, 286, 548, 572, 1507, 1781, 3014, 3562, 6028, 7124, 19591, 39182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78358 and 78364. The biggest common factor number is the GCF number.
So the greatest common factor 78358 and 78364 is 2.

Also check out the Least Common Multiple of 78358 and 78364