What is the Greatest Common Factor of 15225 and 15240?

Greatest common factor (GCF) of 15225 and 15240 is 15.

GCF(15225,15240) = 15

We will now calculate the prime factors of 15225 and 15240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15225 and 15240.

How to find the GCF of 15225 and 15240?

We will first find the prime factorization of 15225 and 15240. After we will calculate the factors of 15225 and 15240 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 15240

Prime factors of 15240 are 2, 3, 5, 127. Prime factorization of 15240 in exponential form is:

15240 = 2³ × 3¹ × 5¹ × 127¹

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 15240

List of positive integer factors of 15240 that divides 15225 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3810, 5080, 7620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15225 and 15240. The biggest common factor number is the GCF number.
So the greatest common factor 15225 and 15240 is 15.

Also check out the Least Common Multiple of 15225 and 15240