What is the Greatest Common Factor of 40020 and 40038?

Greatest common factor (GCF) of 40020 and 40038 is 6.

GCF(40020,40038) = 6

We will now calculate the prime factors of 40020 and 40038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40020 and 40038.

How to find the GCF of 40020 and 40038?

We will first find the prime factorization of 40020 and 40038. After we will calculate the factors of 40020 and 40038 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 40038

Prime factors of 40038 are 2, 3, 6673. Prime factorization of 40038 in exponential form is:

40038 = 2¹ × 3¹ × 6673¹

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 40038

List of positive integer factors of 40038 that divides 40020 without a remainder.

1, 2, 3, 6, 6673, 13346, 20019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40020 and 40038. The biggest common factor number is the GCF number.
So the greatest common factor 40020 and 40038 is 6.

Also check out the Least Common Multiple of 40020 and 40038