What is the Greatest Common Factor of 40020 and 40036?

Greatest common factor (GCF) of 40020 and 40036 is 4.

GCF(40020,40036) = 4

We will now calculate the prime factors of 40020 and 40036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40020 and 40036.

How to find the GCF of 40020 and 40036?

We will first find the prime factorization of 40020 and 40036. After we will calculate the factors of 40020 and 40036 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 40036

Prime factors of 40036 are 2, 10009. Prime factorization of 40036 in exponential form is:

40036 = 2² × 10009¹

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 40036

List of positive integer factors of 40036 that divides 40020 without a remainder.

1, 2, 4, 10009, 20018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40020 and 40036. The biggest common factor number is the GCF number.
So the greatest common factor 40020 and 40036 is 4.

Also check out the Least Common Multiple of 40020 and 40036