What is the Greatest Common Factor of 78166 and 78171?

Greatest common factor (GCF) of 78166 and 78171 is 1.

GCF(78166,78171) = 1

We will now calculate the prime factors of 78166 and 78171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78166 and 78171.

How to find the GCF of 78166 and 78171?

We will first find the prime factorization of 78166 and 78171. After we will calculate the factors of 78166 and 78171 and find the biggest common factor number .

Step-1: Prime Factorization of 78166

Prime factors of 78166 are 2, 11, 17, 19. Prime factorization of 78166 in exponential form is:

78166 = 2¹ × 11² × 17¹ × 19¹

Step-2: 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-3: Factors of 78166

List of positive integer factors of 78166 that divides 78166 without a remainder.

1, 2, 11, 17, 19, 22, 34, 38, 121, 187, 209, 242, 323, 374, 418, 646, 2057, 2299, 3553, 4114, 4598, 7106, 39083

Step-4: Factors of 78171

List of positive integer factors of 78171 that divides 78166 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78166 and 78171. The biggest common factor number is the GCF number.
So the greatest common factor 78166 and 78171 is 1.

Also check out the Least Common Multiple of 78166 and 78171