What is the Greatest Common Factor of 7174 and 7187?

Greatest common factor (GCF) of 7174 and 7187 is 1.

GCF(7174,7187) = 1

We will now calculate the prime factors of 7174 and 7187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7174 and 7187.

How to find the GCF of 7174 and 7187?

We will first find the prime factorization of 7174 and 7187. After we will calculate the factors of 7174 and 7187 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 7187

Prime factors of 7187 are 7187. Prime factorization of 7187 in exponential form is:

7187 = 7187¹

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 7187

List of positive integer factors of 7187 that divides 7174 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7174 and 7187. The biggest common factor number is the GCF number.
So the greatest common factor 7174 and 7187 is 1.

Also check out the Least Common Multiple of 7174 and 7187