What is the Greatest Common Factor of 39069 and 39075?

Greatest common factor (GCF) of 39069 and 39075 is 3.

GCF(39069,39075) = 3

We will now calculate the prime factors of 39069 and 39075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39069 and 39075.

How to find the GCF of 39069 and 39075?

We will first find the prime factorization of 39069 and 39075. After we will calculate the factors of 39069 and 39075 and find the biggest common factor number .

Step-1: Prime Factorization of 39069

Prime factors of 39069 are 3, 1447. Prime factorization of 39069 in exponential form is:

39069 = 3³ × 1447¹

Step-2: Prime Factorization of 39075

Prime factors of 39075 are 3, 5, 521. Prime factorization of 39075 in exponential form is:

39075 = 3¹ × 5² × 521¹

Step-3: Factors of 39069

List of positive integer factors of 39069 that divides 39069 without a remainder.

1, 3, 9, 27, 1447, 4341, 13023

Step-4: Factors of 39075

List of positive integer factors of 39075 that divides 39069 without a remainder.

1, 3, 5, 15, 25, 75, 521, 1563, 2605, 7815, 13025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39069 and 39075. The biggest common factor number is the GCF number.
So the greatest common factor 39069 and 39075 is 3.

Also check out the Least Common Multiple of 39069 and 39075