What is the Greatest Common Factor of 11209 and 11220?

Greatest common factor (GCF) of 11209 and 11220 is 11.

GCF(11209,11220) = 11

We will now calculate the prime factors of 11209 and 11220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11209 and 11220.

How to find the GCF of 11209 and 11220?

We will first find the prime factorization of 11209 and 11220. After we will calculate the factors of 11209 and 11220 and find the biggest common factor number .

Step-1: Prime Factorization of 11209

Prime factors of 11209 are 11, 1019. Prime factorization of 11209 in exponential form is:

11209 = 11¹ × 1019¹

Step-2: 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-3: Factors of 11209

List of positive integer factors of 11209 that divides 11209 without a remainder.

1, 11, 1019

Step-4: Factors of 11220

List of positive integer factors of 11220 that divides 11209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11209 and 11220. The biggest common factor number is the GCF number.
So the greatest common factor 11209 and 11220 is 11.

Also check out the Least Common Multiple of 11209 and 11220