What is the Greatest Common Factor of 40020 and 40035?

Greatest common factor (GCF) of 40020 and 40035 is 15.

GCF(40020,40035) = 15

We will now calculate the prime factors of 40020 and 40035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40020 and 40035.

How to find the GCF of 40020 and 40035?

We will first find the prime factorization of 40020 and 40035. After we will calculate the factors of 40020 and 40035 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 40035

Prime factors of 40035 are 3, 5, 17, 157. Prime factorization of 40035 in exponential form is:

40035 = 3¹ × 5¹ × 17¹ × 157¹

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 40035

List of positive integer factors of 40035 that divides 40020 without a remainder.

1, 3, 5, 15, 17, 51, 85, 157, 255, 471, 785, 2355, 2669, 8007, 13345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40020 and 40035. The biggest common factor number is the GCF number.
So the greatest common factor 40020 and 40035 is 15.

Also check out the Least Common Multiple of 40020 and 40035