What is the Greatest Common Factor of 78308 and 78315?

Greatest common factor (GCF) of 78308 and 78315 is 1.

GCF(78308,78315) = 1

We will now calculate the prime factors of 78308 and 78315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78308 and 78315.

How to find the GCF of 78308 and 78315?

We will first find the prime factorization of 78308 and 78315. After we will calculate the factors of 78308 and 78315 and find the biggest common factor number .

Step-1: Prime Factorization of 78308

Prime factors of 78308 are 2, 19577. Prime factorization of 78308 in exponential form is:

78308 = 2² × 19577¹

Step-2: Prime Factorization of 78315

Prime factors of 78315 are 3, 5, 23, 227. Prime factorization of 78315 in exponential form is:

78315 = 3¹ × 5¹ × 23¹ × 227¹

Step-3: Factors of 78308

List of positive integer factors of 78308 that divides 78308 without a remainder.

1, 2, 4, 19577, 39154

Step-4: Factors of 78315

List of positive integer factors of 78315 that divides 78308 without a remainder.

1, 3, 5, 15, 23, 69, 115, 227, 345, 681, 1135, 3405, 5221, 15663, 26105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78308 and 78315. The biggest common factor number is the GCF number.
So the greatest common factor 78308 and 78315 is 1.

Also check out the Least Common Multiple of 78308 and 78315