What is the Greatest Common Factor of 1185 and 1203?

Greatest common factor (GCF) of 1185 and 1203 is 3.

GCF(1185,1203) = 3

We will now calculate the prime factors of 1185 and 1203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1185 and 1203.

How to find the GCF of 1185 and 1203?

We will first find the prime factorization of 1185 and 1203. After we will calculate the factors of 1185 and 1203 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 1203

Prime factors of 1203 are 3, 401. Prime factorization of 1203 in exponential form is:

1203 = 3¹ × 401¹

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 1203

List of positive integer factors of 1203 that divides 1185 without a remainder.

1, 3, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1185 and 1203. The biggest common factor number is the GCF number.
So the greatest common factor 1185 and 1203 is 3.

Also check out the Least Common Multiple of 1185 and 1203