What is the Greatest Common Factor of 78381 and 78395?

Greatest common factor (GCF) of 78381 and 78395 is 1.

GCF(78381,78395) = 1

We will now calculate the prime factors of 78381 and 78395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78381 and 78395.

How to find the GCF of 78381 and 78395?

We will first find the prime factorization of 78381 and 78395. After we will calculate the factors of 78381 and 78395 and find the biggest common factor number .

Step-1: Prime Factorization of 78381

Prime factors of 78381 are 3, 2903. Prime factorization of 78381 in exponential form is:

78381 = 3³ × 2903¹

Step-2: Prime Factorization of 78395

Prime factors of 78395 are 5, 15679. Prime factorization of 78395 in exponential form is:

78395 = 5¹ × 15679¹

Step-3: Factors of 78381

List of positive integer factors of 78381 that divides 78381 without a remainder.

1, 3, 9, 27, 2903, 8709, 26127

Step-4: Factors of 78395

List of positive integer factors of 78395 that divides 78381 without a remainder.

1, 5, 15679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78381 and 78395. The biggest common factor number is the GCF number.
So the greatest common factor 78381 and 78395 is 1.

Also check out the Least Common Multiple of 78381 and 78395