What is the Greatest Common Factor of 1170 and 1189?

Greatest common factor (GCF) of 1170 and 1189 is 1.

GCF(1170,1189) = 1

We will now calculate the prime factors of 1170 and 1189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1170 and 1189.

How to find the GCF of 1170 and 1189?

We will first find the prime factorization of 1170 and 1189. After we will calculate the factors of 1170 and 1189 and find the biggest common factor number .

Step-1: Prime Factorization of 1170

Prime factors of 1170 are 2, 3, 5, 13. Prime factorization of 1170 in exponential form is:

1170 = 2¹ × 3² × 5¹ × 13¹

Step-2: Prime Factorization of 1189

Prime factors of 1189 are 29, 41. Prime factorization of 1189 in exponential form is:

1189 = 29¹ × 41¹

Step-3: Factors of 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585

Step-4: Factors of 1189

List of positive integer factors of 1189 that divides 1170 without a remainder.

1, 29, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1170 and 1189. The biggest common factor number is the GCF number.
So the greatest common factor 1170 and 1189 is 1.

Also check out the Least Common Multiple of 1170 and 1189