What is the Greatest Common Factor of 11205 and 11220?

Greatest common factor (GCF) of 11205 and 11220 is 15.

GCF(11205,11220) = 15

We will now calculate the prime factors of 11205 and 11220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11205 and 11220.

How to find the GCF of 11205 and 11220?

We will first find the prime factorization of 11205 and 11220. After we will calculate the factors of 11205 and 11220 and find the biggest common factor number .

Step-1: Prime Factorization of 11205

Prime factors of 11205 are 3, 5, 83. Prime factorization of 11205 in exponential form is:

11205 = 3³ × 5¹ × 83¹

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 11205

List of positive integer factors of 11205 that divides 11205 without a remainder.

1, 3, 5, 9, 15, 27, 45, 83, 135, 249, 415, 747, 1245, 2241, 3735

Step-4: Factors of 11220

List of positive integer factors of 11220 that divides 11205 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 11205 and 11220. The biggest common factor number is the GCF number.
So the greatest common factor 11205 and 11220 is 15.

Also check out the Least Common Multiple of 11205 and 11220