What is the Greatest Common Factor of 15288 and 15296?

Greatest common factor (GCF) of 15288 and 15296 is 8.

GCF(15288,15296) = 8

We will now calculate the prime factors of 15288 and 15296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15288 and 15296.

How to find the GCF of 15288 and 15296?

We will first find the prime factorization of 15288 and 15296. After we will calculate the factors of 15288 and 15296 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 15296

Prime factors of 15296 are 2, 239. Prime factorization of 15296 in exponential form is:

15296 = 2⁶ × 239¹

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 15296

List of positive integer factors of 15296 that divides 15288 without a remainder.

1, 2, 4, 8, 16, 32, 64, 239, 478, 956, 1912, 3824, 7648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15288 and 15296. The biggest common factor number is the GCF number.
So the greatest common factor 15288 and 15296 is 8.

Also check out the Least Common Multiple of 15288 and 15296