What is the Greatest Common Factor of 78339 and 78346?

Greatest common factor (GCF) of 78339 and 78346 is 1.

GCF(78339,78346) = 1

We will now calculate the prime factors of 78339 and 78346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78339 and 78346.

How to find the GCF of 78339 and 78346?

We will first find the prime factorization of 78339 and 78346. After we will calculate the factors of 78339 and 78346 and find the biggest common factor number .

Step-1: Prime Factorization of 78339

Prime factors of 78339 are 3, 26113. Prime factorization of 78339 in exponential form is:

78339 = 3¹ × 26113¹

Step-2: Prime Factorization of 78346

Prime factors of 78346 are 2, 43, 911. Prime factorization of 78346 in exponential form is:

78346 = 2¹ × 43¹ × 911¹

Step-3: Factors of 78339

List of positive integer factors of 78339 that divides 78339 without a remainder.

1, 3, 26113

Step-4: Factors of 78346

List of positive integer factors of 78346 that divides 78339 without a remainder.

1, 2, 43, 86, 911, 1822, 39173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78339 and 78346. The biggest common factor number is the GCF number.
So the greatest common factor 78339 and 78346 is 1.

Also check out the Least Common Multiple of 78339 and 78346