What is the Greatest Common Factor of 40166 and 40176?

Greatest common factor (GCF) of 40166 and 40176 is 2.

GCF(40166,40176) = 2

We will now calculate the prime factors of 40166 and 40176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40166 and 40176.

How to find the GCF of 40166 and 40176?

We will first find the prime factorization of 40166 and 40176. After we will calculate the factors of 40166 and 40176 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 40176

Prime factors of 40176 are 2, 3, 31. Prime factorization of 40176 in exponential form is:

40176 = 2⁴ × 3⁴ × 31¹

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 40176

List of positive integer factors of 40176 that divides 40166 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 36, 48, 54, 62, 72, 81, 93, 108, 124, 144, 162, 186, 216, 248, 279, 324, 372, 432, 496, 558, 648, 744, 837, 1116, 1296, 1488, 1674, 2232, 2511, 3348, 4464, 5022, 6696, 10044, 13392, 20088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40166 and 40176. The biggest common factor number is the GCF number.
So the greatest common factor 40166 and 40176 is 2.

Also check out the Least Common Multiple of 40166 and 40176