What is the Greatest Common Factor of 9178 and 9191?

Greatest common factor (GCF) of 9178 and 9191 is 13.

GCF(9178,9191) = 13

We will now calculate the prime factors of 9178 and 9191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9178 and 9191.

How to find the GCF of 9178 and 9191?

We will first find the prime factorization of 9178 and 9191. After we will calculate the factors of 9178 and 9191 and find the biggest common factor number .

Step-1: Prime Factorization of 9178

Prime factors of 9178 are 2, 13, 353. Prime factorization of 9178 in exponential form is:

9178 = 2¹ × 13¹ × 353¹

Step-2: Prime Factorization of 9191

Prime factors of 9191 are 7, 13, 101. Prime factorization of 9191 in exponential form is:

9191 = 7¹ × 13¹ × 101¹

Step-3: Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1, 2, 13, 26, 353, 706, 4589

Step-4: Factors of 9191

List of positive integer factors of 9191 that divides 9178 without a remainder.

1, 7, 13, 91, 101, 707, 1313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9178 and 9191. The biggest common factor number is the GCF number.
So the greatest common factor 9178 and 9191 is 13.

Also check out the Least Common Multiple of 9178 and 9191