What is the Greatest Common Factor of 11550 and 11564?

Greatest common factor (GCF) of 11550 and 11564 is 14.

GCF(11550,11564) = 14

We will now calculate the prime factors of 11550 and 11564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11550 and 11564.

How to find the GCF of 11550 and 11564?

We will first find the prime factorization of 11550 and 11564. After we will calculate the factors of 11550 and 11564 and find the biggest common factor number .

Step-1: Prime Factorization of 11550

Prime factors of 11550 are 2, 3, 5, 7, 11. Prime factorization of 11550 in exponential form is:

11550 = 2¹ × 3¹ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 11564

Prime factors of 11564 are 2, 7, 59. Prime factorization of 11564 in exponential form is:

11564 = 2² × 7² × 59¹

Step-3: Factors of 11550

List of positive integer factors of 11550 that divides 11550 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 25, 30, 33, 35, 42, 50, 55, 66, 70, 75, 77, 105, 110, 150, 154, 165, 175, 210, 231, 275, 330, 350, 385, 462, 525, 550, 770, 825, 1050, 1155, 1650, 1925, 2310, 3850, 5775

Step-4: Factors of 11564

List of positive integer factors of 11564 that divides 11550 without a remainder.

1, 2, 4, 7, 14, 28, 49, 59, 98, 118, 196, 236, 413, 826, 1652, 2891, 5782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11550 and 11564. The biggest common factor number is the GCF number.
So the greatest common factor 11550 and 11564 is 14.

Also check out the Least Common Multiple of 11550 and 11564