What is the Greatest Common Factor of 78171 and 78177?

Greatest common factor (GCF) of 78171 and 78177 is 3.

GCF(78171,78177) = 3

We will now calculate the prime factors of 78171 and 78177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78171 and 78177.

How to find the GCF of 78171 and 78177?

We will first find the prime factorization of 78171 and 78177. After we will calculate the factors of 78171 and 78177 and find the biggest common factor number .

Step-1: Prime Factorization of 78171

Prime factors of 78171 are 3, 71, 367. Prime factorization of 78171 in exponential form is:

78171 = 3¹ × 71¹ × 367¹

Step-2: 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-3: Factors of 78171

List of positive integer factors of 78171 that divides 78171 without a remainder.

1, 3, 71, 213, 367, 1101, 26057

Step-4: Factors of 78177

List of positive integer factors of 78177 that divides 78171 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78171 and 78177. The biggest common factor number is the GCF number.
So the greatest common factor 78171 and 78177 is 3.

Also check out the Least Common Multiple of 78171 and 78177