What is the Greatest Common Factor of 1175 and 1180?

Greatest common factor (GCF) of 1175 and 1180 is 5.

GCF(1175,1180) = 5

We will now calculate the prime factors of 1175 and 1180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1175 and 1180.

How to find the GCF of 1175 and 1180?

We will first find the prime factorization of 1175 and 1180. After we will calculate the factors of 1175 and 1180 and find the biggest common factor number .

Step-1: Prime Factorization of 1175

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

1175 = 5² × 47¹

Step-2: Prime Factorization of 1180

Prime factors of 1180 are 2, 5, 59. Prime factorization of 1180 in exponential form is:

1180 = 2² × 5¹ × 59¹

Step-3: Factors of 1175

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

1, 5, 25, 47, 235

Step-4: Factors of 1180

List of positive integer factors of 1180 that divides 1175 without a remainder.

1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1175 and 1180. The biggest common factor number is the GCF number.
So the greatest common factor 1175 and 1180 is 5.

Also check out the Least Common Multiple of 1175 and 1180