What is the Greatest Common Factor of 40009 and 40029?

Greatest common factor (GCF) of 40009 and 40029 is 1.

GCF(40009,40029) = 1

We will now calculate the prime factors of 40009 and 40029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40009 and 40029.

How to find the GCF of 40009 and 40029?

We will first find the prime factorization of 40009 and 40029. After we will calculate the factors of 40009 and 40029 and find the biggest common factor number .

Step-1: Prime Factorization of 40009

Prime factors of 40009 are 40009. Prime factorization of 40009 in exponential form is:

40009 = 40009¹

Step-2: 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-3: Factors of 40009

List of positive integer factors of 40009 that divides 40009 without a remainder.

Step-4: Factors of 40029

List of positive integer factors of 40029 that divides 40009 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40009 and 40029. The biggest common factor number is the GCF number.
So the greatest common factor 40009 and 40029 is 1.

Also check out the Least Common Multiple of 40009 and 40029