What is the Greatest Common Factor of 7174 and 7191?

Greatest common factor (GCF) of 7174 and 7191 is 17.

GCF(7174,7191) = 17

We will now calculate the prime factors of 7174 and 7191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7174 and 7191.

How to find the GCF of 7174 and 7191?

We will first find the prime factorization of 7174 and 7191. After we will calculate the factors of 7174 and 7191 and find the biggest common factor number .

Step-1: Prime Factorization of 7174

Prime factors of 7174 are 2, 17, 211. Prime factorization of 7174 in exponential form is:

7174 = 2¹ × 17¹ × 211¹

Step-2: Prime Factorization of 7191

Prime factors of 7191 are 3, 17, 47. Prime factorization of 7191 in exponential form is:

7191 = 3² × 17¹ × 47¹

Step-3: Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1, 2, 17, 34, 211, 422, 3587

Step-4: Factors of 7191

List of positive integer factors of 7191 that divides 7174 without a remainder.

1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7174 and 7191. The biggest common factor number is the GCF number.
So the greatest common factor 7174 and 7191 is 17.

Also check out the Least Common Multiple of 7174 and 7191