What is the Greatest Common Factor of 1178 and 1198?

Greatest common factor (GCF) of 1178 and 1198 is 2.

GCF(1178,1198) = 2

We will now calculate the prime factors of 1178 and 1198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1178 and 1198.

How to find the GCF of 1178 and 1198?

We will first find the prime factorization of 1178 and 1198. After we will calculate the factors of 1178 and 1198 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 1198

Prime factors of 1198 are 2, 599. Prime factorization of 1198 in exponential form is:

1198 = 2¹ × 599¹

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 1198

List of positive integer factors of 1198 that divides 1178 without a remainder.

1, 2, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1178 and 1198. The biggest common factor number is the GCF number.
So the greatest common factor 1178 and 1198 is 2.

Also check out the Least Common Multiple of 1178 and 1198