What is the Greatest Common Factor of 11205 and 11215?

Greatest common factor (GCF) of 11205 and 11215 is 5.

GCF(11205,11215) = 5

We will now calculate the prime factors of 11205 and 11215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11205 and 11215.

How to find the GCF of 11205 and 11215?

We will first find the prime factorization of 11205 and 11215. After we will calculate the factors of 11205 and 11215 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 11215

Prime factors of 11215 are 5, 2243. Prime factorization of 11215 in exponential form is:

11215 = 5¹ × 2243¹

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 11215

List of positive integer factors of 11215 that divides 11205 without a remainder.

1, 5, 2243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11205 and 11215. The biggest common factor number is the GCF number.
So the greatest common factor 11205 and 11215 is 5.

Also check out the Least Common Multiple of 11205 and 11215