What is the Greatest Common Factor of 78309 and 78318?

Greatest common factor (GCF) of 78309 and 78318 is 9.

GCF(78309,78318) = 9

We will now calculate the prime factors of 78309 and 78318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78309 and 78318.

How to find the GCF of 78309 and 78318?

We will first find the prime factorization of 78309 and 78318. After we will calculate the factors of 78309 and 78318 and find the biggest common factor number .

Step-1: Prime Factorization of 78309

Prime factors of 78309 are 3, 7, 11, 113. Prime factorization of 78309 in exponential form is:

78309 = 3² × 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 78318

Prime factors of 78318 are 2, 3, 19, 229. Prime factorization of 78318 in exponential form is:

78318 = 2¹ × 3² × 19¹ × 229¹

Step-3: Factors of 78309

List of positive integer factors of 78309 that divides 78309 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 113, 231, 339, 693, 791, 1017, 1243, 2373, 3729, 7119, 8701, 11187, 26103

Step-4: Factors of 78318

List of positive integer factors of 78318 that divides 78309 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 229, 342, 458, 687, 1374, 2061, 4122, 4351, 8702, 13053, 26106, 39159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78309 and 78318. The biggest common factor number is the GCF number.
So the greatest common factor 78309 and 78318 is 9.

Also check out the Least Common Multiple of 78309 and 78318