What is the Greatest Common Factor of 78314 and 78334?

Greatest common factor (GCF) of 78314 and 78334 is 2.

GCF(78314,78334) = 2

We will now calculate the prime factors of 78314 and 78334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78314 and 78334.

How to find the GCF of 78314 and 78334?

We will first find the prime factorization of 78314 and 78334. After we will calculate the factors of 78314 and 78334 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 78334

Prime factors of 78334 are 2, 53, 739. Prime factorization of 78334 in exponential form is:

78334 = 2¹ × 53¹ × 739¹

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 78334

List of positive integer factors of 78334 that divides 78314 without a remainder.

1, 2, 53, 106, 739, 1478, 39167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78314 and 78334. The biggest common factor number is the GCF number.
So the greatest common factor 78314 and 78334 is 2.

Also check out the Least Common Multiple of 78314 and 78334