What is the Greatest Common Factor of 78342 and 78348?

Greatest common factor (GCF) of 78342 and 78348 is 6.

GCF(78342,78348) = 6

We will now calculate the prime factors of 78342 and 78348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78342 and 78348.

How to find the GCF of 78342 and 78348?

We will first find the prime factorization of 78342 and 78348. After we will calculate the factors of 78342 and 78348 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78348

Prime factors of 78348 are 2, 3, 6529. Prime factorization of 78348 in exponential form is:

78348 = 2² × 3¹ × 6529¹

Step-3: Factors of 78342

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

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

Step-4: Factors of 78348

List of positive integer factors of 78348 that divides 78342 without a remainder.

1, 2, 3, 4, 6, 12, 6529, 13058, 19587, 26116, 39174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78342 and 78348. The biggest common factor number is the GCF number.
So the greatest common factor 78342 and 78348 is 6.

Also check out the Least Common Multiple of 78342 and 78348