What is the Greatest Common Factor of 11460 and 11472?

Greatest common factor (GCF) of 11460 and 11472 is 12.

GCF(11460,11472) = 12

We will now calculate the prime factors of 11460 and 11472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11460 and 11472.

How to find the GCF of 11460 and 11472?

We will first find the prime factorization of 11460 and 11472. After we will calculate the factors of 11460 and 11472 and find the biggest common factor number .

Step-1: Prime Factorization of 11460

Prime factors of 11460 are 2, 3, 5, 191. Prime factorization of 11460 in exponential form is:

11460 = 2² × 3¹ × 5¹ × 191¹

Step-2: Prime Factorization of 11472

Prime factors of 11472 are 2, 3, 239. Prime factorization of 11472 in exponential form is:

11472 = 2⁴ × 3¹ × 239¹

Step-3: Factors of 11460

List of positive integer factors of 11460 that divides 11460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 191, 382, 573, 764, 955, 1146, 1910, 2292, 2865, 3820, 5730

Step-4: Factors of 11472

List of positive integer factors of 11472 that divides 11460 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 239, 478, 717, 956, 1434, 1912, 2868, 3824, 5736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11460 and 11472. The biggest common factor number is the GCF number.
So the greatest common factor 11460 and 11472 is 12.

Also check out the Least Common Multiple of 11460 and 11472