What is the Greatest Common Factor of 1178 and 1186?

Greatest common factor (GCF) of 1178 and 1186 is 2.

GCF(1178,1186) = 2

We will now calculate the prime factors of 1178 and 1186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1178 and 1186.

How to find the GCF of 1178 and 1186?

We will first find the prime factorization of 1178 and 1186. After we will calculate the factors of 1178 and 1186 and find the biggest common factor number .

Step-1: Prime Factorization of 1178

Prime factors of 1178 are 2, 19, 31. Prime factorization of 1178 in exponential form is:

1178 = 2¹ × 19¹ × 31¹

Step-2: Prime Factorization of 1186

Prime factors of 1186 are 2, 593. Prime factorization of 1186 in exponential form is:

1186 = 2¹ × 593¹

Step-3: Factors of 1178

List of positive integer factors of 1178 that divides 1178 without a remainder.

1, 2, 19, 31, 38, 62, 589

Step-4: Factors of 1186

List of positive integer factors of 1186 that divides 1178 without a remainder.

1, 2, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1178 and 1186. The biggest common factor number is the GCF number.
So the greatest common factor 1178 and 1186 is 2.

Also check out the Least Common Multiple of 1178 and 1186