What is the Greatest Common Factor of 1178 and 1187?

Greatest common factor (GCF) of 1178 and 1187 is 1.

GCF(1178,1187) = 1

We will now calculate the prime factors of 1178 and 1187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1178 and 1187.

How to find the GCF of 1178 and 1187?

We will first find the prime factorization of 1178 and 1187. After we will calculate the factors of 1178 and 1187 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 1187

Prime factors of 1187 are 1187. Prime factorization of 1187 in exponential form is:

1187 = 1187¹

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 1187

List of positive integer factors of 1187 that divides 1178 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1178 and 1187. The biggest common factor number is the GCF number.
So the greatest common factor 1178 and 1187 is 1.

Also check out the Least Common Multiple of 1178 and 1187