What is the Greatest Common Factor of 11220 and 11231?

Greatest common factor (GCF) of 11220 and 11231 is 11.

GCF(11220,11231) = 11

We will now calculate the prime factors of 11220 and 11231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11220 and 11231.

How to find the GCF of 11220 and 11231?

We will first find the prime factorization of 11220 and 11231. After we will calculate the factors of 11220 and 11231 and find the biggest common factor number .

Step-1: Prime Factorization of 11220

Prime factors of 11220 are 2, 3, 5, 11, 17. Prime factorization of 11220 in exponential form is:

11220 = 2² × 3¹ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 11231

Prime factors of 11231 are 11, 1021. Prime factorization of 11231 in exponential form is:

11231 = 11¹ × 1021¹

Step-3: Factors of 11220

List of positive integer factors of 11220 that divides 11220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 17, 20, 22, 30, 33, 34, 44, 51, 55, 60, 66, 68, 85, 102, 110, 132, 165, 170, 187, 204, 220, 255, 330, 340, 374, 510, 561, 660, 748, 935, 1020, 1122, 1870, 2244, 2805, 3740, 5610

Step-4: Factors of 11231

List of positive integer factors of 11231 that divides 11220 without a remainder.

1, 11, 1021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11220 and 11231. The biggest common factor number is the GCF number.
So the greatest common factor 11220 and 11231 is 11.

Also check out the Least Common Multiple of 11220 and 11231