What is the Greatest Common Factor of 40032 and 40040?

Greatest common factor (GCF) of 40032 and 40040 is 8.

GCF(40032,40040) = 8

We will now calculate the prime factors of 40032 and 40040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40032 and 40040.

How to find the GCF of 40032 and 40040?

We will first find the prime factorization of 40032 and 40040. After we will calculate the factors of 40032 and 40040 and find the biggest common factor number .

Step-1: Prime Factorization of 40032

Prime factors of 40032 are 2, 3, 139. Prime factorization of 40032 in exponential form is:

40032 = 2⁵ × 3² × 139¹

Step-2: Prime Factorization of 40040

Prime factors of 40040 are 2, 5, 7, 11, 13. Prime factorization of 40040 in exponential form is:

40040 = 2³ × 5¹ × 7¹ × 11¹ × 13¹

Step-3: Factors of 40032

List of positive integer factors of 40032 that divides 40032 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 139, 144, 278, 288, 417, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 4448, 5004, 6672, 10008, 13344, 20016

Step-4: Factors of 40040

List of positive integer factors of 40040 that divides 40032 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 88, 91, 104, 110, 130, 140, 143, 154, 182, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 572, 616, 715, 728, 770, 910, 1001, 1144, 1430, 1540, 1820, 2002, 2860, 3080, 3640, 4004, 5005, 5720, 8008, 10010, 20020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40032 and 40040. The biggest common factor number is the GCF number.
So the greatest common factor 40032 and 40040 is 8.

Also check out the Least Common Multiple of 40032 and 40040