What is the Greatest Common Factor of 1185 and 1205?

Greatest common factor (GCF) of 1185 and 1205 is 5.

GCF(1185,1205) = 5

We will now calculate the prime factors of 1185 and 1205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1185 and 1205.

How to find the GCF of 1185 and 1205?

We will first find the prime factorization of 1185 and 1205. After we will calculate the factors of 1185 and 1205 and find the biggest common factor number .

Step-1: Prime Factorization of 1185

Prime factors of 1185 are 3, 5, 79. Prime factorization of 1185 in exponential form is:

1185 = 3¹ × 5¹ × 79¹

Step-2: Prime Factorization of 1205

Prime factors of 1205 are 5, 241. Prime factorization of 1205 in exponential form is:

1205 = 5¹ × 241¹

Step-3: Factors of 1185

List of positive integer factors of 1185 that divides 1185 without a remainder.

1, 3, 5, 15, 79, 237, 395

Step-4: Factors of 1205

List of positive integer factors of 1205 that divides 1185 without a remainder.

1, 5, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1185 and 1205. The biggest common factor number is the GCF number.
So the greatest common factor 1185 and 1205 is 5.

Also check out the Least Common Multiple of 1185 and 1205