What is the Greatest Common Factor of 78180 and 78195?

Greatest common factor (GCF) of 78180 and 78195 is 15.

GCF(78180,78195) = 15

We will now calculate the prime factors of 78180 and 78195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78180 and 78195.

How to find the GCF of 78180 and 78195?

We will first find the prime factorization of 78180 and 78195. After we will calculate the factors of 78180 and 78195 and find the biggest common factor number .

Step-1: Prime Factorization of 78180

Prime factors of 78180 are 2, 3, 5, 1303. Prime factorization of 78180 in exponential form is:

78180 = 2² × 3¹ × 5¹ × 1303¹

Step-2: 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-3: Factors of 78180

List of positive integer factors of 78180 that divides 78180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1303, 2606, 3909, 5212, 6515, 7818, 13030, 15636, 19545, 26060, 39090

Step-4: Factors of 78195

List of positive integer factors of 78195 that divides 78180 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78180 and 78195. The biggest common factor number is the GCF number.
So the greatest common factor 78180 and 78195 is 15.

Also check out the Least Common Multiple of 78180 and 78195