What is the Greatest Common Factor of 40029 and 40041?

Greatest common factor (GCF) of 40029 and 40041 is 3.

GCF(40029,40041) = 3

We will now calculate the prime factors of 40029 and 40041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40029 and 40041.

How to find the GCF of 40029 and 40041?

We will first find the prime factorization of 40029 and 40041. After we will calculate the factors of 40029 and 40041 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 40041

Prime factors of 40041 are 3, 1483. Prime factorization of 40041 in exponential form is:

40041 = 3³ × 1483¹

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 40041

List of positive integer factors of 40041 that divides 40029 without a remainder.

1, 3, 9, 27, 1483, 4449, 13347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40029 and 40041. The biggest common factor number is the GCF number.
So the greatest common factor 40029 and 40041 is 3.

Also check out the Least Common Multiple of 40029 and 40041