What is the Greatest Common Factor of 78363 and 78375?

Greatest common factor (GCF) of 78363 and 78375 is 3.

GCF(78363,78375) = 3

We will now calculate the prime factors of 78363 and 78375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78363 and 78375.

How to find the GCF of 78363 and 78375?

We will first find the prime factorization of 78363 and 78375. After we will calculate the factors of 78363 and 78375 and find the biggest common factor number .

Step-1: Prime Factorization of 78363

Prime factors of 78363 are 3, 8707. Prime factorization of 78363 in exponential form is:

78363 = 3² × 8707¹

Step-2: Prime Factorization of 78375

Prime factors of 78375 are 3, 5, 11, 19. Prime factorization of 78375 in exponential form is:

78375 = 3¹ × 5³ × 11¹ × 19¹

Step-3: Factors of 78363

List of positive integer factors of 78363 that divides 78363 without a remainder.

1, 3, 9, 8707, 26121

Step-4: Factors of 78375

List of positive integer factors of 78375 that divides 78363 without a remainder.

1, 3, 5, 11, 15, 19, 25, 33, 55, 57, 75, 95, 125, 165, 209, 275, 285, 375, 475, 627, 825, 1045, 1375, 1425, 2375, 3135, 4125, 5225, 7125, 15675, 26125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78363 and 78375. The biggest common factor number is the GCF number.
So the greatest common factor 78363 and 78375 is 3.

Also check out the Least Common Multiple of 78363 and 78375