What is the Greatest Common Factor of 1185 and 1201?

Greatest common factor (GCF) of 1185 and 1201 is 1.

GCF(1185,1201) = 1

We will now calculate the prime factors of 1185 and 1201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1185 and 1201.

How to find the GCF of 1185 and 1201?

We will first find the prime factorization of 1185 and 1201. After we will calculate the factors of 1185 and 1201 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 1201

Prime factors of 1201 are 1201. Prime factorization of 1201 in exponential form is:

1201 = 1201¹

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 1201

List of positive integer factors of 1201 that divides 1185 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1185 and 1201. The biggest common factor number is the GCF number.
So the greatest common factor 1185 and 1201 is 1.

Also check out the Least Common Multiple of 1185 and 1201