What is the Greatest Common Factor of 78166 and 78177?

Greatest common factor (GCF) of 78166 and 78177 is 11.

GCF(78166,78177) = 11

We will now calculate the prime factors of 78166 and 78177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78166 and 78177.

How to find the GCF of 78166 and 78177?

We will first find the prime factorization of 78166 and 78177. After we will calculate the factors of 78166 and 78177 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 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 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 78177

List of positive integer factors of 78177 that divides 78166 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 78166 and 78177. The biggest common factor number is the GCF number.
So the greatest common factor 78166 and 78177 is 11.

Also check out the Least Common Multiple of 78166 and 78177