What is the Greatest Common Factor of 11460 and 11466?

Greatest common factor (GCF) of 11460 and 11466 is 6.

GCF(11460,11466) = 6

We will now calculate the prime factors of 11460 and 11466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11460 and 11466.

How to find the GCF of 11460 and 11466?

We will first find the prime factorization of 11460 and 11466. After we will calculate the factors of 11460 and 11466 and find the biggest common factor number .

Step-1: Prime Factorization of 11460

Prime factors of 11460 are 2, 3, 5, 191. Prime factorization of 11460 in exponential form is:

11460 = 2² × 3¹ × 5¹ × 191¹

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 11460

List of positive integer factors of 11460 that divides 11460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 191, 382, 573, 764, 955, 1146, 1910, 2292, 2865, 3820, 5730

Step-4: Factors of 11466

List of positive integer factors of 11466 that divides 11460 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 11460 and 11466. The biggest common factor number is the GCF number.
So the greatest common factor 11460 and 11466 is 6.

Also check out the Least Common Multiple of 11460 and 11466