What is the Greatest Common Factor of 11452 and 11466?

Greatest common factor (GCF) of 11452 and 11466 is 14.

GCF(11452,11466) = 14

We will now calculate the prime factors of 11452 and 11466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11452 and 11466.

How to find the GCF of 11452 and 11466?

We will first find the prime factorization of 11452 and 11466. After we will calculate the factors of 11452 and 11466 and find the biggest common factor number .

Step-1: Prime Factorization of 11452

Prime factors of 11452 are 2, 7, 409. Prime factorization of 11452 in exponential form is:

11452 = 2² × 7¹ × 409¹

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 11452

List of positive integer factors of 11452 that divides 11452 without a remainder.

1, 2, 4, 7, 14, 28, 409, 818, 1636, 2863, 5726

Step-4: Factors of 11466

List of positive integer factors of 11466 that divides 11452 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 11452 and 11466. The biggest common factor number is the GCF number.
So the greatest common factor 11452 and 11466 is 14.

Also check out the Least Common Multiple of 11452 and 11466