What is the Greatest Common Factor of 40164 and 40176?

Greatest common factor (GCF) of 40164 and 40176 is 12.

GCF(40164,40176) = 12

We will now calculate the prime factors of 40164 and 40176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40164 and 40176.

How to find the GCF of 40164 and 40176?

We will first find the prime factorization of 40164 and 40176. After we will calculate the factors of 40164 and 40176 and find the biggest common factor number .

Step-1: Prime Factorization of 40164

Prime factors of 40164 are 2, 3, 3347. Prime factorization of 40164 in exponential form is:

40164 = 2² × 3¹ × 3347¹

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 40164

List of positive integer factors of 40164 that divides 40164 without a remainder.

1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082

Step-4: Factors of 40176

List of positive integer factors of 40176 that divides 40164 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 40164 and 40176. The biggest common factor number is the GCF number.
So the greatest common factor 40164 and 40176 is 12.

Also check out the Least Common Multiple of 40164 and 40176