What is the Greatest Common Factor of 1185 and 1204?

Greatest common factor (GCF) of 1185 and 1204 is 1.

GCF(1185,1204) = 1

We will now calculate the prime factors of 1185 and 1204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1185 and 1204.

How to find the GCF of 1185 and 1204?

We will first find the prime factorization of 1185 and 1204. After we will calculate the factors of 1185 and 1204 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 1204

Prime factors of 1204 are 2, 7, 43. Prime factorization of 1204 in exponential form is:

1204 = 2² × 7¹ × 43¹

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 1204

List of positive integer factors of 1204 that divides 1185 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1185 and 1204. The biggest common factor number is the GCF number.
So the greatest common factor 1185 and 1204 is 1.

Also check out the Least Common Multiple of 1185 and 1204