What is the Greatest Common Factor of 15275 and 15288?

Greatest common factor (GCF) of 15275 and 15288 is 13.

GCF(15275,15288) = 13

We will now calculate the prime factors of 15275 and 15288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15275 and 15288.

How to find the GCF of 15275 and 15288?

We will first find the prime factorization of 15275 and 15288. After we will calculate the factors of 15275 and 15288 and find the biggest common factor number .

Step-1: Prime Factorization of 15275

Prime factors of 15275 are 5, 13, 47. Prime factorization of 15275 in exponential form is:

15275 = 5² × 13¹ × 47¹

Step-2: Prime Factorization of 15288

Prime factors of 15288 are 2, 3, 7, 13. Prime factorization of 15288 in exponential form is:

15288 = 2³ × 3¹ × 7² × 13¹

Step-3: Factors of 15275

List of positive integer factors of 15275 that divides 15275 without a remainder.

1, 5, 13, 25, 47, 65, 235, 325, 611, 1175, 3055

Step-4: Factors of 15288

List of positive integer factors of 15288 that divides 15275 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 49, 52, 56, 78, 84, 91, 98, 104, 147, 156, 168, 182, 196, 273, 294, 312, 364, 392, 546, 588, 637, 728, 1092, 1176, 1274, 1911, 2184, 2548, 3822, 5096, 7644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15275 and 15288. The biggest common factor number is the GCF number.
So the greatest common factor 15275 and 15288 is 13.

Also check out the Least Common Multiple of 15275 and 15288