What is the Greatest Common Factor of 15225 and 15241?

Greatest common factor (GCF) of 15225 and 15241 is 1.

GCF(15225,15241) = 1

We will now calculate the prime factors of 15225 and 15241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15225 and 15241.

How to find the GCF of 15225 and 15241?

We will first find the prime factorization of 15225 and 15241. After we will calculate the factors of 15225 and 15241 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 15241

Prime factors of 15241 are 15241. Prime factorization of 15241 in exponential form is:

15241 = 15241¹

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 15241

List of positive integer factors of 15241 that divides 15225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15225 and 15241. The biggest common factor number is the GCF number.
So the greatest common factor 15225 and 15241 is 1.

Also check out the Least Common Multiple of 15225 and 15241