What is the Greatest Common Factor of 11472 and 11491?

Greatest common factor (GCF) of 11472 and 11491 is 1.

GCF(11472,11491) = 1

We will now calculate the prime factors of 11472 and 11491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11472 and 11491.

How to find the GCF of 11472 and 11491?

We will first find the prime factorization of 11472 and 11491. After we will calculate the factors of 11472 and 11491 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 11491

Prime factors of 11491 are 11491. Prime factorization of 11491 in exponential form is:

11491 = 11491¹

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 11491

List of positive integer factors of 11491 that divides 11472 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11472 and 11491. The biggest common factor number is the GCF number.
So the greatest common factor 11472 and 11491 is 1.

Also check out the Least Common Multiple of 11472 and 11491