What is the Greatest Common Factor of 7158 and 7172?

Greatest common factor (GCF) of 7158 and 7172 is 2.

GCF(7158,7172) = 2

We will now calculate the prime factors of 7158 and 7172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7158 and 7172.

How to find the GCF of 7158 and 7172?

We will first find the prime factorization of 7158 and 7172. After we will calculate the factors of 7158 and 7172 and find the biggest common factor number .

Step-1: Prime Factorization of 7158

Prime factors of 7158 are 2, 3, 1193. Prime factorization of 7158 in exponential form is:

7158 = 2¹ × 3¹ × 1193¹

Step-2: Prime Factorization of 7172

Prime factors of 7172 are 2, 11, 163. Prime factorization of 7172 in exponential form is:

7172 = 2² × 11¹ × 163¹

Step-3: Factors of 7158

List of positive integer factors of 7158 that divides 7158 without a remainder.

1, 2, 3, 6, 1193, 2386, 3579

Step-4: Factors of 7172

List of positive integer factors of 7172 that divides 7158 without a remainder.

1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7158 and 7172. The biggest common factor number is the GCF number.
So the greatest common factor 7158 and 7172 is 2.

Also check out the Least Common Multiple of 7158 and 7172