What is the Greatest Common Factor of 11472 and 11490?

Greatest common factor (GCF) of 11472 and 11490 is 6.

GCF(11472,11490) = 6

We will now calculate the prime factors of 11472 and 11490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11472 and 11490.

How to find the GCF of 11472 and 11490?

We will first find the prime factorization of 11472 and 11490. After we will calculate the factors of 11472 and 11490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11490

Prime factors of 11490 are 2, 3, 5, 383. Prime factorization of 11490 in exponential form is:

11490 = 2¹ × 3¹ × 5¹ × 383¹

Step-3: Factors of 11472

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

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

Step-4: Factors of 11490

List of positive integer factors of 11490 that divides 11472 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 383, 766, 1149, 1915, 2298, 3830, 5745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11472 and 11490. The biggest common factor number is the GCF number.
So the greatest common factor 11472 and 11490 is 6.

Also check out the Least Common Multiple of 11472 and 11490