What is the Greatest Common Factor of 11464 and 11472?

Greatest common factor (GCF) of 11464 and 11472 is 8.

GCF(11464,11472) = 8

We will now calculate the prime factors of 11464 and 11472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11464 and 11472.

How to find the GCF of 11464 and 11472?

We will first find the prime factorization of 11464 and 11472. After we will calculate the factors of 11464 and 11472 and find the biggest common factor number .

Step-1: Prime Factorization of 11464

Prime factors of 11464 are 2, 1433. Prime factorization of 11464 in exponential form is:

11464 = 2³ × 1433¹

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 11464

List of positive integer factors of 11464 that divides 11464 without a remainder.

1, 2, 4, 8, 1433, 2866, 5732

Step-4: Factors of 11472

List of positive integer factors of 11472 that divides 11464 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 11464 and 11472. The biggest common factor number is the GCF number.
So the greatest common factor 11464 and 11472 is 8.

Also check out the Least Common Multiple of 11464 and 11472