What is the Greatest Common Factor of 78334 and 78342?

Greatest common factor (GCF) of 78334 and 78342 is 2.

GCF(78334,78342) = 2

We will now calculate the prime factors of 78334 and 78342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78334 and 78342.

How to find the GCF of 78334 and 78342?

We will first find the prime factorization of 78334 and 78342. After we will calculate the factors of 78334 and 78342 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78342

Prime factors of 78342 are 2, 3, 11, 1187. Prime factorization of 78342 in exponential form is:

78342 = 2¹ × 3¹ × 11¹ × 1187¹

Step-3: Factors of 78334

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

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

Step-4: Factors of 78342

List of positive integer factors of 78342 that divides 78334 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1187, 2374, 3561, 7122, 13057, 26114, 39171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78334 and 78342. The biggest common factor number is the GCF number.
So the greatest common factor 78334 and 78342 is 2.

Also check out the Least Common Multiple of 78334 and 78342