What is the Greatest Common Factor of 1152 and 1166?

Greatest common factor (GCF) of 1152 and 1166 is 2.

GCF(1152,1166) = 2

We will now calculate the prime factors of 1152 and 1166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1152 and 1166.

How to find the GCF of 1152 and 1166?

We will first find the prime factorization of 1152 and 1166. After we will calculate the factors of 1152 and 1166 and find the biggest common factor number .

Step-1: Prime Factorization of 1152

Prime factors of 1152 are 2, 3. Prime factorization of 1152 in exponential form is:

1152 = 2⁷ × 3²

Step-2: 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-3: Factors of 1152

List of positive integer factors of 1152 that divides 1152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576

Step-4: Factors of 1166

List of positive integer factors of 1166 that divides 1152 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1152 and 1166. The biggest common factor number is the GCF number.
So the greatest common factor 1152 and 1166 is 2.

Also check out the Least Common Multiple of 1152 and 1166