What is the Greatest Common Factor of 1170 and 1181?

Greatest common factor (GCF) of 1170 and 1181 is 1.

GCF(1170,1181) = 1

We will now calculate the prime factors of 1170 and 1181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1170 and 1181.

How to find the GCF of 1170 and 1181?

We will first find the prime factorization of 1170 and 1181. After we will calculate the factors of 1170 and 1181 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 1181

Prime factors of 1181 are 1181. Prime factorization of 1181 in exponential form is:

1181 = 1181¹

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 1181

List of positive integer factors of 1181 that divides 1170 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1170 and 1181. The biggest common factor number is the GCF number.
So the greatest common factor 1170 and 1181 is 1.

Also check out the Least Common Multiple of 1170 and 1181