What is the Greatest Common Factor of 39075 and 39084?

Greatest common factor (GCF) of 39075 and 39084 is 3.

GCF(39075,39084) = 3

We will now calculate the prime factors of 39075 and 39084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39075 and 39084.

How to find the GCF of 39075 and 39084?

We will first find the prime factorization of 39075 and 39084. After we will calculate the factors of 39075 and 39084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39084

Prime factors of 39084 are 2, 3, 3257. Prime factorization of 39084 in exponential form is:

39084 = 2² × 3¹ × 3257¹

Step-3: Factors of 39075

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

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

Step-4: Factors of 39084

List of positive integer factors of 39084 that divides 39075 without a remainder.

1, 2, 3, 4, 6, 12, 3257, 6514, 9771, 13028, 19542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39075 and 39084. The biggest common factor number is the GCF number.
So the greatest common factor 39075 and 39084 is 3.

Also check out the Least Common Multiple of 39075 and 39084