What is the Greatest Common Factor of 1178 and 1196?

Greatest common factor (GCF) of 1178 and 1196 is 2.

GCF(1178,1196) = 2

We will now calculate the prime factors of 1178 and 1196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1178 and 1196.

How to find the GCF of 1178 and 1196?

We will first find the prime factorization of 1178 and 1196. After we will calculate the factors of 1178 and 1196 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 1196

Prime factors of 1196 are 2, 13, 23. Prime factorization of 1196 in exponential form is:

1196 = 2² × 13¹ × 23¹

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 1196

List of positive integer factors of 1196 that divides 1178 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1178 and 1196. The biggest common factor number is the GCF number.
So the greatest common factor 1178 and 1196 is 2.

Also check out the Least Common Multiple of 1178 and 1196