What is the Greatest Common Factor of 1165 and 1175?

Greatest common factor (GCF) of 1165 and 1175 is 5.

GCF(1165,1175) = 5

We will now calculate the prime factors of 1165 and 1175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1165 and 1175.

How to find the GCF of 1165 and 1175?

We will first find the prime factorization of 1165 and 1175. After we will calculate the factors of 1165 and 1175 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 1175

Prime factors of 1175 are 5, 47. Prime factorization of 1175 in exponential form is:

1175 = 5² × 47¹

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 1175

List of positive integer factors of 1175 that divides 1165 without a remainder.

1, 5, 25, 47, 235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1165 and 1175. The biggest common factor number is the GCF number.
So the greatest common factor 1165 and 1175 is 5.

Also check out the Least Common Multiple of 1165 and 1175