What is the Greatest Common Factor of 40128 and 40140?

Greatest common factor (GCF) of 40128 and 40140 is 12.

GCF(40128,40140) = 12

We will now calculate the prime factors of 40128 and 40140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40128 and 40140.

How to find the GCF of 40128 and 40140?

We will first find the prime factorization of 40128 and 40140. After we will calculate the factors of 40128 and 40140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40140

Prime factors of 40140 are 2, 3, 5, 223. Prime factorization of 40140 in exponential form is:

40140 = 2² × 3² × 5¹ × 223¹

Step-3: Factors of 40128

List of positive integer factors of 40128 that divides 40128 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

Step-4: Factors of 40140

List of positive integer factors of 40140 that divides 40128 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 223, 446, 669, 892, 1115, 1338, 2007, 2230, 2676, 3345, 4014, 4460, 6690, 8028, 10035, 13380, 20070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40128 and 40140. The biggest common factor number is the GCF number.
So the greatest common factor 40128 and 40140 is 12.

Also check out the Least Common Multiple of 40128 and 40140