What is the Greatest Common Factor of 40029 and 40044?

Greatest common factor (GCF) of 40029 and 40044 is 3.

GCF(40029,40044) = 3

We will now calculate the prime factors of 40029 and 40044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40029 and 40044.

How to find the GCF of 40029 and 40044?

We will first find the prime factorization of 40029 and 40044. After we will calculate the factors of 40029 and 40044 and find the biggest common factor number .

Step-1: Prime Factorization of 40029

Prime factors of 40029 are 3, 11, 1213. Prime factorization of 40029 in exponential form is:

40029 = 3¹ × 11¹ × 1213¹

Step-2: Prime Factorization of 40044

Prime factors of 40044 are 2, 3, 47, 71. Prime factorization of 40044 in exponential form is:

40044 = 2² × 3¹ × 47¹ × 71¹

Step-3: Factors of 40029

List of positive integer factors of 40029 that divides 40029 without a remainder.

1, 3, 11, 33, 1213, 3639, 13343

Step-4: Factors of 40044

List of positive integer factors of 40044 that divides 40029 without a remainder.

1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40029 and 40044. The biggest common factor number is the GCF number.
So the greatest common factor 40029 and 40044 is 3.

Also check out the Least Common Multiple of 40029 and 40044