What is the Greatest Common Factor of 40176 and 40188?

Greatest common factor (GCF) of 40176 and 40188 is 12.

GCF(40176,40188) = 12

We will now calculate the prime factors of 40176 and 40188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40176 and 40188.

How to find the GCF of 40176 and 40188?

We will first find the prime factorization of 40176 and 40188. After we will calculate the factors of 40176 and 40188 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40188

Prime factors of 40188 are 2, 3, 17, 197. Prime factorization of 40188 in exponential form is:

40188 = 2² × 3¹ × 17¹ × 197¹

Step-3: Factors of 40176

List of positive integer factors of 40176 that divides 40176 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

Step-4: Factors of 40188

List of positive integer factors of 40188 that divides 40176 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 197, 204, 394, 591, 788, 1182, 2364, 3349, 6698, 10047, 13396, 20094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40176 and 40188. The biggest common factor number is the GCF number.
So the greatest common factor 40176 and 40188 is 12.

Also check out the Least Common Multiple of 40176 and 40188