What is the Greatest Common Factor of 1160 and 1180?

Greatest common factor (GCF) of 1160 and 1180 is 20.

GCF(1160,1180) = 20

We will now calculate the prime factors of 1160 and 1180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1160 and 1180.

How to find the GCF of 1160 and 1180?

We will first find the prime factorization of 1160 and 1180. After we will calculate the factors of 1160 and 1180 and find the biggest common factor number .

Step-1: Prime Factorization of 1160

Prime factors of 1160 are 2, 5, 29. Prime factorization of 1160 in exponential form is:

1160 = 2³ × 5¹ × 29¹

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 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580

Step-4: Factors of 1180

List of positive integer factors of 1180 that divides 1160 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 1160 and 1180. The biggest common factor number is the GCF number.
So the greatest common factor 1160 and 1180 is 20.

Also check out the Least Common Multiple of 1160 and 1180