What is the Greatest Common Factor of 78195 and 78215?

Greatest common factor (GCF) of 78195 and 78215 is 5.

GCF(78195,78215) = 5

We will now calculate the prime factors of 78195 and 78215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78195 and 78215.

How to find the GCF of 78195 and 78215?

We will first find the prime factorization of 78195 and 78215. After we will calculate the factors of 78195 and 78215 and find the biggest common factor number .

Step-1: Prime Factorization of 78195

Prime factors of 78195 are 3, 5, 13, 401. Prime factorization of 78195 in exponential form is:

78195 = 3¹ × 5¹ × 13¹ × 401¹

Step-2: Prime Factorization of 78215

Prime factors of 78215 are 5, 15643. Prime factorization of 78215 in exponential form is:

78215 = 5¹ × 15643¹

Step-3: Factors of 78195

List of positive integer factors of 78195 that divides 78195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 401, 1203, 2005, 5213, 6015, 15639, 26065

Step-4: Factors of 78215

List of positive integer factors of 78215 that divides 78195 without a remainder.

1, 5, 15643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78195 and 78215. The biggest common factor number is the GCF number.
So the greatest common factor 78195 and 78215 is 5.

Also check out the Least Common Multiple of 78195 and 78215