What is the Greatest Common Factor of 78314 and 78328?

Greatest common factor (GCF) of 78314 and 78328 is 2.

GCF(78314,78328) = 2

We will now calculate the prime factors of 78314 and 78328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78314 and 78328.

How to find the GCF of 78314 and 78328?

We will first find the prime factorization of 78314 and 78328. After we will calculate the factors of 78314 and 78328 and find the biggest common factor number .

Step-1: Prime Factorization of 78314

Prime factors of 78314 are 2, 39157. Prime factorization of 78314 in exponential form is:

78314 = 2¹ × 39157¹

Step-2: Prime Factorization of 78328

Prime factors of 78328 are 2, 9791. Prime factorization of 78328 in exponential form is:

78328 = 2³ × 9791¹

Step-3: Factors of 78314

List of positive integer factors of 78314 that divides 78314 without a remainder.

1, 2, 39157

Step-4: Factors of 78328

List of positive integer factors of 78328 that divides 78314 without a remainder.

1, 2, 4, 8, 9791, 19582, 39164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78314 and 78328. The biggest common factor number is the GCF number.
So the greatest common factor 78314 and 78328 is 2.

Also check out the Least Common Multiple of 78314 and 78328