What is the Greatest Common Factor of 39225 and 39243?

Greatest common factor (GCF) of 39225 and 39243 is 3.

GCF(39225,39243) = 3

We will now calculate the prime factors of 39225 and 39243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39225 and 39243.

How to find the GCF of 39225 and 39243?

We will first find the prime factorization of 39225 and 39243. After we will calculate the factors of 39225 and 39243 and find the biggest common factor number .

Step-1: Prime Factorization of 39225

Prime factors of 39225 are 3, 5, 523. Prime factorization of 39225 in exponential form is:

39225 = 3¹ × 5² × 523¹

Step-2: Prime Factorization of 39243

Prime factors of 39243 are 3, 103, 127. Prime factorization of 39243 in exponential form is:

39243 = 3¹ × 103¹ × 127¹

Step-3: Factors of 39225

List of positive integer factors of 39225 that divides 39225 without a remainder.

1, 3, 5, 15, 25, 75, 523, 1569, 2615, 7845, 13075

Step-4: Factors of 39243

List of positive integer factors of 39243 that divides 39225 without a remainder.

1, 3, 103, 127, 309, 381, 13081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39225 and 39243. The biggest common factor number is the GCF number.
So the greatest common factor 39225 and 39243 is 3.

Also check out the Least Common Multiple of 39225 and 39243