What is the Greatest Common Factor of 78177 and 78195?

Greatest common factor (GCF) of 78177 and 78195 is 3.

GCF(78177,78195) = 3

We will now calculate the prime factors of 78177 and 78195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78177 and 78195.

How to find the GCF of 78177 and 78195?

We will first find the prime factorization of 78177 and 78195. After we will calculate the factors of 78177 and 78195 and find the biggest common factor number .

Step-1: Prime Factorization of 78177

Prime factors of 78177 are 3, 11, 23, 103. Prime factorization of 78177 in exponential form is:

78177 = 3¹ × 11¹ × 23¹ × 103¹

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 78177

List of positive integer factors of 78177 that divides 78177 without a remainder.

1, 3, 11, 23, 33, 69, 103, 253, 309, 759, 1133, 2369, 3399, 7107, 26059

Step-4: Factors of 78195

List of positive integer factors of 78195 that divides 78177 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 78177 and 78195. The biggest common factor number is the GCF number.
So the greatest common factor 78177 and 78195 is 3.

Also check out the Least Common Multiple of 78177 and 78195