What is the Greatest Common Factor of 11205 and 11223?

Greatest common factor (GCF) of 11205 and 11223 is 9.

GCF(11205,11223) = 9

We will now calculate the prime factors of 11205 and 11223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11205 and 11223.

How to find the GCF of 11205 and 11223?

We will first find the prime factorization of 11205 and 11223. After we will calculate the factors of 11205 and 11223 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 11223

Prime factors of 11223 are 3, 29, 43. Prime factorization of 11223 in exponential form is:

11223 = 3² × 29¹ × 43¹

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 11223

List of positive integer factors of 11223 that divides 11205 without a remainder.

1, 3, 9, 29, 43, 87, 129, 261, 387, 1247, 3741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11205 and 11223. The biggest common factor number is the GCF number.
So the greatest common factor 11205 and 11223 is 9.

Also check out the Least Common Multiple of 11205 and 11223