What is the Greatest Common Factor of 11472 and 11486?

Greatest common factor (GCF) of 11472 and 11486 is 2.

GCF(11472,11486) = 2

We will now calculate the prime factors of 11472 and 11486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11472 and 11486.

How to find the GCF of 11472 and 11486?

We will first find the prime factorization of 11472 and 11486. After we will calculate the factors of 11472 and 11486 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 11486

Prime factors of 11486 are 2, 5743. Prime factorization of 11486 in exponential form is:

11486 = 2¹ × 5743¹

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 11486

List of positive integer factors of 11486 that divides 11472 without a remainder.

1, 2, 5743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11472 and 11486. The biggest common factor number is the GCF number.
So the greatest common factor 11472 and 11486 is 2.

Also check out the Least Common Multiple of 11472 and 11486