What is the Greatest Common Factor of 1166 and 1176?

Greatest common factor (GCF) of 1166 and 1176 is 2.

GCF(1166,1176) = 2

We will now calculate the prime factors of 1166 and 1176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1166 and 1176.

How to find the GCF of 1166 and 1176?

We will first find the prime factorization of 1166 and 1176. After we will calculate the factors of 1166 and 1176 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 1176

Prime factors of 1176 are 2, 3, 7. Prime factorization of 1176 in exponential form is:

1176 = 2³ × 3¹ × 7²

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 1176

List of positive integer factors of 1176 that divides 1166 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1166 and 1176. The biggest common factor number is the GCF number.
So the greatest common factor 1166 and 1176 is 2.

Also check out the Least Common Multiple of 1166 and 1176