What is the Greatest Common Factor of 11448 and 11466?

Greatest common factor (GCF) of 11448 and 11466 is 18.

GCF(11448,11466) = 18

We will now calculate the prime factors of 11448 and 11466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11448 and 11466.

How to find the GCF of 11448 and 11466?

We will first find the prime factorization of 11448 and 11466. After we will calculate the factors of 11448 and 11466 and find the biggest common factor number .

Step-1: Prime Factorization of 11448

Prime factors of 11448 are 2, 3, 53. Prime factorization of 11448 in exponential form is:

11448 = 2³ × 3³ × 53¹

Step-2: Prime Factorization of 11466

Prime factors of 11466 are 2, 3, 7, 13. Prime factorization of 11466 in exponential form is:

11466 = 2¹ × 3² × 7² × 13¹

Step-3: Factors of 11448

List of positive integer factors of 11448 that divides 11448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 53, 54, 72, 106, 108, 159, 212, 216, 318, 424, 477, 636, 954, 1272, 1431, 1908, 2862, 3816, 5724

Step-4: Factors of 11466

List of positive integer factors of 11466 that divides 11448 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 49, 63, 78, 91, 98, 117, 126, 147, 182, 234, 273, 294, 441, 546, 637, 819, 882, 1274, 1638, 1911, 3822, 5733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11448 and 11466. The biggest common factor number is the GCF number.
So the greatest common factor 11448 and 11466 is 18.

Also check out the Least Common Multiple of 11448 and 11466