What is the Greatest Common Factor of 11520 and 11536?

Greatest common factor (GCF) of 11520 and 11536 is 16.

GCF(11520,11536) = 16

We will now calculate the prime factors of 11520 and 11536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11520 and 11536.

How to find the GCF of 11520 and 11536?

We will first find the prime factorization of 11520 and 11536. After we will calculate the factors of 11520 and 11536 and find the biggest common factor number .

Step-1: Prime Factorization of 11520

Prime factors of 11520 are 2, 3, 5. Prime factorization of 11520 in exponential form is:

11520 = 2⁸ × 3² × 5¹

Step-2: Prime Factorization of 11536

Prime factors of 11536 are 2, 7, 103. Prime factorization of 11536 in exponential form is:

11536 = 2⁴ × 7¹ × 103¹

Step-3: Factors of 11520

List of positive integer factors of 11520 that divides 11520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 256, 288, 320, 360, 384, 480, 576, 640, 720, 768, 960, 1152, 1280, 1440, 1920, 2304, 2880, 3840, 5760

Step-4: Factors of 11536

List of positive integer factors of 11536 that divides 11520 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 103, 112, 206, 412, 721, 824, 1442, 1648, 2884, 5768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11520 and 11536. The biggest common factor number is the GCF number.
So the greatest common factor 11520 and 11536 is 16.

Also check out the Least Common Multiple of 11520 and 11536