What is the Greatest Common Factor of 11466 and 11482?

Greatest common factor (GCF) of 11466 and 11482 is 2.

GCF(11466,11482) = 2

We will now calculate the prime factors of 11466 and 11482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11466 and 11482.

How to find the GCF of 11466 and 11482?

We will first find the prime factorization of 11466 and 11482. After we will calculate the factors of 11466 and 11482 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11482

Prime factors of 11482 are 2, 5741. Prime factorization of 11482 in exponential form is:

11482 = 2¹ × 5741¹

Step-3: Factors of 11466

List of positive integer factors of 11466 that divides 11466 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

Step-4: Factors of 11482

List of positive integer factors of 11482 that divides 11466 without a remainder.

1, 2, 5741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11466 and 11482. The biggest common factor number is the GCF number.
So the greatest common factor 11466 and 11482 is 2.

Also check out the Least Common Multiple of 11466 and 11482