What is the Greatest Common Factor of 11295 and 11304?

Greatest common factor (GCF) of 11295 and 11304 is 9.

GCF(11295,11304) = 9

We will now calculate the prime factors of 11295 and 11304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11295 and 11304.

How to find the GCF of 11295 and 11304?

We will first find the prime factorization of 11295 and 11304. After we will calculate the factors of 11295 and 11304 and find the biggest common factor number .

Step-1: Prime Factorization of 11295

Prime factors of 11295 are 3, 5, 251. Prime factorization of 11295 in exponential form is:

11295 = 3² × 5¹ × 251¹

Step-2: Prime Factorization of 11304

Prime factors of 11304 are 2, 3, 157. Prime factorization of 11304 in exponential form is:

11304 = 2³ × 3² × 157¹

Step-3: Factors of 11295

List of positive integer factors of 11295 that divides 11295 without a remainder.

1, 3, 5, 9, 15, 45, 251, 753, 1255, 2259, 3765

Step-4: Factors of 11304

List of positive integer factors of 11304 that divides 11295 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 157, 314, 471, 628, 942, 1256, 1413, 1884, 2826, 3768, 5652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11295 and 11304. The biggest common factor number is the GCF number.
So the greatest common factor 11295 and 11304 is 9.

Also check out the Least Common Multiple of 11295 and 11304