What is the Greatest Common Factor of 39009 and 39018?

Greatest common factor (GCF) of 39009 and 39018 is 3.

GCF(39009,39018) = 3

We will now calculate the prime factors of 39009 and 39018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39009 and 39018.

How to find the GCF of 39009 and 39018?

We will first find the prime factorization of 39009 and 39018. After we will calculate the factors of 39009 and 39018 and find the biggest common factor number .

Step-1: Prime Factorization of 39009

Prime factors of 39009 are 3, 13003. Prime factorization of 39009 in exponential form is:

39009 = 3¹ × 13003¹

Step-2: Prime Factorization of 39018

Prime factors of 39018 are 2, 3, 7, 929. Prime factorization of 39018 in exponential form is:

39018 = 2¹ × 3¹ × 7¹ × 929¹

Step-3: Factors of 39009

List of positive integer factors of 39009 that divides 39009 without a remainder.

1, 3, 13003

Step-4: Factors of 39018

List of positive integer factors of 39018 that divides 39009 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 929, 1858, 2787, 5574, 6503, 13006, 19509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39009 and 39018. The biggest common factor number is the GCF number.
So the greatest common factor 39009 and 39018 is 3.

Also check out the Least Common Multiple of 39009 and 39018