What is the Greatest Common Factor of 11205 and 11225?

Greatest common factor (GCF) of 11205 and 11225 is 5.

GCF(11205,11225) = 5

We will now calculate the prime factors of 11205 and 11225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11205 and 11225.

How to find the GCF of 11205 and 11225?

We will first find the prime factorization of 11205 and 11225. After we will calculate the factors of 11205 and 11225 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 11225

Prime factors of 11225 are 5, 449. Prime factorization of 11225 in exponential form is:

11225 = 5² × 449¹

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 11225

List of positive integer factors of 11225 that divides 11205 without a remainder.

1, 5, 25, 449, 2245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11205 and 11225. The biggest common factor number is the GCF number.
So the greatest common factor 11205 and 11225 is 5.

Also check out the Least Common Multiple of 11205 and 11225