What is the Greatest Common Factor of 40116 and 40128?

Greatest common factor (GCF) of 40116 and 40128 is 12.

GCF(40116,40128) = 12

We will now calculate the prime factors of 40116 and 40128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40116 and 40128.

How to find the GCF of 40116 and 40128?

We will first find the prime factorization of 40116 and 40128. After we will calculate the factors of 40116 and 40128 and find the biggest common factor number .

Step-1: Prime Factorization of 40116

Prime factors of 40116 are 2, 3, 3343. Prime factorization of 40116 in exponential form is:

40116 = 2² × 3¹ × 3343¹

Step-2: Prime Factorization of 40128

Prime factors of 40128 are 2, 3, 11, 19. Prime factorization of 40128 in exponential form is:

40128 = 2⁶ × 3¹ × 11¹ × 19¹

Step-3: Factors of 40116

List of positive integer factors of 40116 that divides 40116 without a remainder.

1, 2, 3, 4, 6, 12, 3343, 6686, 10029, 13372, 20058

Step-4: Factors of 40128

List of positive integer factors of 40128 that divides 40116 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44, 48, 57, 64, 66, 76, 88, 96, 114, 132, 152, 176, 192, 209, 228, 264, 304, 352, 418, 456, 528, 608, 627, 704, 836, 912, 1056, 1216, 1254, 1672, 1824, 2112, 2508, 3344, 3648, 5016, 6688, 10032, 13376, 20064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40116 and 40128. The biggest common factor number is the GCF number.
So the greatest common factor 40116 and 40128 is 12.

Also check out the Least Common Multiple of 40116 and 40128