What is the Greatest Common Factor of 1165 and 1181?

Greatest common factor (GCF) of 1165 and 1181 is 1.

GCF(1165,1181) = 1

We will now calculate the prime factors of 1165 and 1181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1165 and 1181.

How to find the GCF of 1165 and 1181?

We will first find the prime factorization of 1165 and 1181. After we will calculate the factors of 1165 and 1181 and find the biggest common factor number .

Step-1: Prime Factorization of 1165

Prime factors of 1165 are 5, 233. Prime factorization of 1165 in exponential form is:

1165 = 5¹ × 233¹

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 1165

List of positive integer factors of 1165 that divides 1165 without a remainder.

1, 5, 233

Step-4: Factors of 1181

List of positive integer factors of 1181 that divides 1165 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1165 and 1181. The biggest common factor number is the GCF number.
So the greatest common factor 1165 and 1181 is 1.

Also check out the Least Common Multiple of 1165 and 1181