What is the Greatest Common Factor of 40166 and 40185?

Greatest common factor (GCF) of 40166 and 40185 is 19.

GCF(40166,40185) = 19

We will now calculate the prime factors of 40166 and 40185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40166 and 40185.

How to find the GCF of 40166 and 40185?

We will first find the prime factorization of 40166 and 40185. After we will calculate the factors of 40166 and 40185 and find the biggest common factor number .

Step-1: Prime Factorization of 40166

Prime factors of 40166 are 2, 7, 19, 151. Prime factorization of 40166 in exponential form is:

40166 = 2¹ × 7¹ × 19¹ × 151¹

Step-2: Prime Factorization of 40185

Prime factors of 40185 are 3, 5, 19, 47. Prime factorization of 40185 in exponential form is:

40185 = 3² × 5¹ × 19¹ × 47¹

Step-3: Factors of 40166

List of positive integer factors of 40166 that divides 40166 without a remainder.

1, 2, 7, 14, 19, 38, 133, 151, 266, 302, 1057, 2114, 2869, 5738, 20083

Step-4: Factors of 40185

List of positive integer factors of 40185 that divides 40166 without a remainder.

1, 3, 5, 9, 15, 19, 45, 47, 57, 95, 141, 171, 235, 285, 423, 705, 855, 893, 2115, 2679, 4465, 8037, 13395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40166 and 40185. The biggest common factor number is the GCF number.
So the greatest common factor 40166 and 40185 is 19.

Also check out the Least Common Multiple of 40166 and 40185