What is the Greatest Common Factor of 1149 and 1161?

Greatest common factor (GCF) of 1149 and 1161 is 3.

GCF(1149,1161) = 3

We will now calculate the prime factors of 1149 and 1161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1149 and 1161.

How to find the GCF of 1149 and 1161?

We will first find the prime factorization of 1149 and 1161. After we will calculate the factors of 1149 and 1161 and find the biggest common factor number .

Step-1: Prime Factorization of 1149

Prime factors of 1149 are 3, 383. Prime factorization of 1149 in exponential form is:

1149 = 3¹ × 383¹

Step-2: Prime Factorization of 1161

Prime factors of 1161 are 3, 43. Prime factorization of 1161 in exponential form is:

1161 = 3³ × 43¹

Step-3: Factors of 1149

List of positive integer factors of 1149 that divides 1149 without a remainder.

1, 3, 383

Step-4: Factors of 1161

List of positive integer factors of 1161 that divides 1149 without a remainder.

1, 3, 9, 27, 43, 129, 387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1149 and 1161. The biggest common factor number is the GCF number.
So the greatest common factor 1149 and 1161 is 3.

Also check out the Least Common Multiple of 1149 and 1161