What is the Greatest Common Factor of 40005 and 40020?

Greatest common factor (GCF) of 40005 and 40020 is 15.

GCF(40005,40020) = 15

We will now calculate the prime factors of 40005 and 40020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40005 and 40020.

How to find the GCF of 40005 and 40020?

We will first find the prime factorization of 40005 and 40020. After we will calculate the factors of 40005 and 40020 and find the biggest common factor number .

Step-1: Prime Factorization of 40005

Prime factors of 40005 are 3, 5, 7, 127. Prime factorization of 40005 in exponential form is:

40005 = 3² × 5¹ × 7¹ × 127¹

Step-2: 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-3: Factors of 40005

List of positive integer factors of 40005 that divides 40005 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 127, 315, 381, 635, 889, 1143, 1905, 2667, 4445, 5715, 8001, 13335

Step-4: Factors of 40020

List of positive integer factors of 40020 that divides 40005 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40005 and 40020. The biggest common factor number is the GCF number.
So the greatest common factor 40005 and 40020 is 15.

Also check out the Least Common Multiple of 40005 and 40020