What is the Greatest Common Factor of 40020 and 40032?

Greatest common factor (GCF) of 40020 and 40032 is 12.

GCF(40020,40032) = 12

We will now calculate the prime factors of 40020 and 40032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40020 and 40032.

How to find the GCF of 40020 and 40032?

We will first find the prime factorization of 40020 and 40032. After we will calculate the factors of 40020 and 40032 and find the biggest common factor number .

Step-1: Prime Factorization of 40020

Prime factors of 40020 are 2, 3, 5, 23, 29. Prime factorization of 40020 in exponential form is:

40020 = 2² × 3¹ × 5¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 40020

List of positive integer factors of 40020 that divides 40020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 29, 30, 46, 58, 60, 69, 87, 92, 115, 116, 138, 145, 174, 230, 276, 290, 345, 348, 435, 460, 580, 667, 690, 870, 1334, 1380, 1740, 2001, 2668, 3335, 4002, 6670, 8004, 10005, 13340, 20010

Step-4: Factors of 40032

List of positive integer factors of 40032 that divides 40020 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40020 and 40032. The biggest common factor number is the GCF number.
So the greatest common factor 40020 and 40032 is 12.

Also check out the Least Common Multiple of 40020 and 40032