What is the Greatest Common Factor of 78147 and 78166?

Greatest common factor (GCF) of 78147 and 78166 is 19.

GCF(78147,78166) = 19

We will now calculate the prime factors of 78147 and 78166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78147 and 78166.

How to find the GCF of 78147 and 78166?

We will first find the prime factorization of 78147 and 78166. After we will calculate the factors of 78147 and 78166 and find the biggest common factor number .

Step-1: Prime Factorization of 78147

Prime factors of 78147 are 3, 19, 457. Prime factorization of 78147 in exponential form is:

78147 = 3² × 19¹ × 457¹

Step-2: 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-3: Factors of 78147

List of positive integer factors of 78147 that divides 78147 without a remainder.

1, 3, 9, 19, 57, 171, 457, 1371, 4113, 8683, 26049

Step-4: Factors of 78166

List of positive integer factors of 78166 that divides 78147 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78147 and 78166. The biggest common factor number is the GCF number.
So the greatest common factor 78147 and 78166 is 19.

Also check out the Least Common Multiple of 78147 and 78166