What is the Greatest Common Factor of 15225 and 15239?

Greatest common factor (GCF) of 15225 and 15239 is 7.

GCF(15225,15239) = 7

We will now calculate the prime factors of 15225 and 15239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15225 and 15239.

How to find the GCF of 15225 and 15239?

We will first find the prime factorization of 15225 and 15239. After we will calculate the factors of 15225 and 15239 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 15239

Prime factors of 15239 are 7, 311. Prime factorization of 15239 in exponential form is:

15239 = 7² × 311¹

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 15239

List of positive integer factors of 15239 that divides 15225 without a remainder.

1, 7, 49, 311, 2177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15225 and 15239. The biggest common factor number is the GCF number.
So the greatest common factor 15225 and 15239 is 7.

Also check out the Least Common Multiple of 15225 and 15239