What is the Greatest Common Factor of 11232 and 11245?

Greatest common factor (GCF) of 11232 and 11245 is 13.

GCF(11232,11245) = 13

We will now calculate the prime factors of 11232 and 11245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11232 and 11245.

How to find the GCF of 11232 and 11245?

We will first find the prime factorization of 11232 and 11245. After we will calculate the factors of 11232 and 11245 and find the biggest common factor number .

Step-1: Prime Factorization of 11232

Prime factors of 11232 are 2, 3, 13. Prime factorization of 11232 in exponential form is:

11232 = 2⁵ × 3³ × 13¹

Step-2: Prime Factorization of 11245

Prime factors of 11245 are 5, 13, 173. Prime factorization of 11245 in exponential form is:

11245 = 5¹ × 13¹ × 173¹

Step-3: Factors of 11232

List of positive integer factors of 11232 that divides 11232 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 72, 78, 96, 104, 108, 117, 144, 156, 208, 216, 234, 288, 312, 351, 416, 432, 468, 624, 702, 864, 936, 1248, 1404, 1872, 2808, 3744, 5616

Step-4: Factors of 11245

List of positive integer factors of 11245 that divides 11232 without a remainder.

1, 5, 13, 65, 173, 865, 2249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11232 and 11245. The biggest common factor number is the GCF number.
So the greatest common factor 11232 and 11245 is 13.

Also check out the Least Common Multiple of 11232 and 11245