What is the Greatest Common Factor of 78304 and 78322?

Greatest common factor (GCF) of 78304 and 78322 is 2.

GCF(78304,78322) = 2

We will now calculate the prime factors of 78304 and 78322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78304 and 78322.

How to find the GCF of 78304 and 78322?

We will first find the prime factorization of 78304 and 78322. After we will calculate the factors of 78304 and 78322 and find the biggest common factor number .

Step-1: Prime Factorization of 78304

Prime factors of 78304 are 2, 2447. Prime factorization of 78304 in exponential form is:

78304 = 2⁵ × 2447¹

Step-2: Prime Factorization of 78322

Prime factors of 78322 are 2, 39161. Prime factorization of 78322 in exponential form is:

78322 = 2¹ × 39161¹

Step-3: Factors of 78304

List of positive integer factors of 78304 that divides 78304 without a remainder.

1, 2, 4, 8, 16, 32, 2447, 4894, 9788, 19576, 39152

Step-4: Factors of 78322

List of positive integer factors of 78322 that divides 78304 without a remainder.

1, 2, 39161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78304 and 78322. The biggest common factor number is the GCF number.
So the greatest common factor 78304 and 78322 is 2.

Also check out the Least Common Multiple of 78304 and 78322