What is the Greatest Common Factor of 11508 and 11520?

Greatest common factor (GCF) of 11508 and 11520 is 12.

GCF(11508,11520) = 12

We will now calculate the prime factors of 11508 and 11520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11508 and 11520.

How to find the GCF of 11508 and 11520?

We will first find the prime factorization of 11508 and 11520. After we will calculate the factors of 11508 and 11520 and find the biggest common factor number .

Step-1: Prime Factorization of 11508

Prime factors of 11508 are 2, 3, 7, 137. Prime factorization of 11508 in exponential form is:

11508 = 2² × 3¹ × 7¹ × 137¹

Step-2: 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-3: Factors of 11508

List of positive integer factors of 11508 that divides 11508 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 137, 274, 411, 548, 822, 959, 1644, 1918, 2877, 3836, 5754

Step-4: Factors of 11520

List of positive integer factors of 11520 that divides 11508 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11508 and 11520. The biggest common factor number is the GCF number.
So the greatest common factor 11508 and 11520 is 12.

Also check out the Least Common Multiple of 11508 and 11520