What is the Greatest Common Factor of 1166 and 1177?

Greatest common factor (GCF) of 1166 and 1177 is 11.

GCF(1166,1177) = 11

We will now calculate the prime factors of 1166 and 1177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1166 and 1177.

How to find the GCF of 1166 and 1177?

We will first find the prime factorization of 1166 and 1177. After we will calculate the factors of 1166 and 1177 and find the biggest common factor number .

Step-1: Prime Factorization of 1166

Prime factors of 1166 are 2, 11, 53. Prime factorization of 1166 in exponential form is:

1166 = 2¹ × 11¹ × 53¹

Step-2: Prime Factorization of 1177

Prime factors of 1177 are 11, 107. Prime factorization of 1177 in exponential form is:

1177 = 11¹ × 107¹

Step-3: Factors of 1166

List of positive integer factors of 1166 that divides 1166 without a remainder.

1, 2, 11, 22, 53, 106, 583

Step-4: Factors of 1177

List of positive integer factors of 1177 that divides 1166 without a remainder.

1, 11, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1166 and 1177. The biggest common factor number is the GCF number.
So the greatest common factor 1166 and 1177 is 11.

Also check out the Least Common Multiple of 1166 and 1177