What is the Greatest Common Factor of 15288 and 15297?

Greatest common factor (GCF) of 15288 and 15297 is 3.

GCF(15288,15297) = 3

We will now calculate the prime factors of 15288 and 15297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15288 and 15297.

How to find the GCF of 15288 and 15297?

We will first find the prime factorization of 15288 and 15297. After we will calculate the factors of 15288 and 15297 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15297

Prime factors of 15297 are 3, 5099. Prime factorization of 15297 in exponential form is:

15297 = 3¹ × 5099¹

Step-3: Factors of 15288

List of positive integer factors of 15288 that divides 15288 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

Step-4: Factors of 15297

List of positive integer factors of 15297 that divides 15288 without a remainder.

1, 3, 5099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15288 and 15297. The biggest common factor number is the GCF number.
So the greatest common factor 15288 and 15297 is 3.

Also check out the Least Common Multiple of 15288 and 15297