What is the Greatest Common Factor of 11520 and 11538?

Greatest common factor (GCF) of 11520 and 11538 is 18.

GCF(11520,11538) = 18

We will now calculate the prime factors of 11520 and 11538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11520 and 11538.

How to find the GCF of 11520 and 11538?

We will first find the prime factorization of 11520 and 11538. After we will calculate the factors of 11520 and 11538 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 11538

Prime factors of 11538 are 2, 3, 641. Prime factorization of 11538 in exponential form is:

11538 = 2¹ × 3² × 641¹

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 11538

List of positive integer factors of 11538 that divides 11520 without a remainder.

1, 2, 3, 6, 9, 18, 641, 1282, 1923, 3846, 5769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11520 and 11538. The biggest common factor number is the GCF number.
So the greatest common factor 11520 and 11538 is 18.

Also check out the Least Common Multiple of 11520 and 11538