What is the Greatest Common Factor of 15225 and 15237?

Greatest common factor (GCF) of 15225 and 15237 is 3.

GCF(15225,15237) = 3

We will now calculate the prime factors of 15225 and 15237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15225 and 15237.

How to find the GCF of 15225 and 15237?

We will first find the prime factorization of 15225 and 15237. After we will calculate the factors of 15225 and 15237 and find the biggest common factor number .

Step-1: Prime Factorization of 15225

Prime factors of 15225 are 3, 5, 7, 29. Prime factorization of 15225 in exponential form is:

15225 = 3¹ × 5² × 7¹ × 29¹

Step-2: Prime Factorization of 15237

Prime factors of 15237 are 3, 1693. Prime factorization of 15237 in exponential form is:

15237 = 3² × 1693¹

Step-3: Factors of 15225

List of positive integer factors of 15225 that divides 15225 without a remainder.

1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075

Step-4: Factors of 15237

List of positive integer factors of 15237 that divides 15225 without a remainder.

1, 3, 9, 1693, 5079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15225 and 15237. The biggest common factor number is the GCF number.
So the greatest common factor 15225 and 15237 is 3.

Also check out the Least Common Multiple of 15225 and 15237