What is the Greatest Common Factor of 1178 and 1197?

Greatest common factor (GCF) of 1178 and 1197 is 19.

GCF(1178,1197) = 19

We will now calculate the prime factors of 1178 and 1197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1178 and 1197.

How to find the GCF of 1178 and 1197?

We will first find the prime factorization of 1178 and 1197. After we will calculate the factors of 1178 and 1197 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 1197

Prime factors of 1197 are 3, 7, 19. Prime factorization of 1197 in exponential form is:

1197 = 3² × 7¹ × 19¹

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 1197

List of positive integer factors of 1197 that divides 1178 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1178 and 1197. The biggest common factor number is the GCF number.
So the greatest common factor 1178 and 1197 is 19.

Also check out the Least Common Multiple of 1178 and 1197