What is the Greatest Common Factor of 11288 and 11305?

Greatest common factor (GCF) of 11288 and 11305 is 17.

GCF(11288,11305) = 17

We will now calculate the prime factors of 11288 and 11305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11288 and 11305.

How to find the GCF of 11288 and 11305?

We will first find the prime factorization of 11288 and 11305. After we will calculate the factors of 11288 and 11305 and find the biggest common factor number .

Step-1: Prime Factorization of 11288

Prime factors of 11288 are 2, 17, 83. Prime factorization of 11288 in exponential form is:

11288 = 2³ × 17¹ × 83¹

Step-2: Prime Factorization of 11305

Prime factors of 11305 are 5, 7, 17, 19. Prime factorization of 11305 in exponential form is:

11305 = 5¹ × 7¹ × 17¹ × 19¹

Step-3: Factors of 11288

List of positive integer factors of 11288 that divides 11288 without a remainder.

1, 2, 4, 8, 17, 34, 68, 83, 136, 166, 332, 664, 1411, 2822, 5644

Step-4: Factors of 11305

List of positive integer factors of 11305 that divides 11288 without a remainder.

1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11288 and 11305. The biggest common factor number is the GCF number.
So the greatest common factor 11288 and 11305 is 17.

Also check out the Least Common Multiple of 11288 and 11305