What is the Greatest Common Factor of 39210 and 39225?

Greatest common factor (GCF) of 39210 and 39225 is 15.

GCF(39210,39225) = 15

We will now calculate the prime factors of 39210 and 39225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39210 and 39225.

How to find the GCF of 39210 and 39225?

We will first find the prime factorization of 39210 and 39225. After we will calculate the factors of 39210 and 39225 and find the biggest common factor number .

Step-1: Prime Factorization of 39210

Prime factors of 39210 are 2, 3, 5, 1307. Prime factorization of 39210 in exponential form is:

39210 = 2¹ × 3¹ × 5¹ × 1307¹

Step-2: 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-3: Factors of 39210

List of positive integer factors of 39210 that divides 39210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1307, 2614, 3921, 6535, 7842, 13070, 19605

Step-4: Factors of 39225

List of positive integer factors of 39225 that divides 39210 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39210 and 39225. The biggest common factor number is the GCF number.
So the greatest common factor 39210 and 39225 is 15.

Also check out the Least Common Multiple of 39210 and 39225