What is the Greatest Common Factor of 15225 and 15235?

Greatest common factor (GCF) of 15225 and 15235 is 5.

GCF(15225,15235) = 5

We will now calculate the prime factors of 15225 and 15235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15225 and 15235.

How to find the GCF of 15225 and 15235?

We will first find the prime factorization of 15225 and 15235. After we will calculate the factors of 15225 and 15235 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 15235

Prime factors of 15235 are 5, 11, 277. Prime factorization of 15235 in exponential form is:

15235 = 5¹ × 11¹ × 277¹

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 15235

List of positive integer factors of 15235 that divides 15225 without a remainder.

1, 5, 11, 55, 277, 1385, 3047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15225 and 15235. The biggest common factor number is the GCF number.
So the greatest common factor 15225 and 15235 is 5.

Also check out the Least Common Multiple of 15225 and 15235