What is the Greatest Common Factor of 7164 and 7172?

Greatest common factor (GCF) of 7164 and 7172 is 4.

GCF(7164,7172) = 4

We will now calculate the prime factors of 7164 and 7172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7164 and 7172.

How to find the GCF of 7164 and 7172?

We will first find the prime factorization of 7164 and 7172. After we will calculate the factors of 7164 and 7172 and find the biggest common factor number .

Step-1: Prime Factorization of 7164

Prime factors of 7164 are 2, 3, 199. Prime factorization of 7164 in exponential form is:

7164 = 2² × 3² × 199¹

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 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582

Step-4: Factors of 7172

List of positive integer factors of 7172 that divides 7164 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 7164 and 7172. The biggest common factor number is the GCF number.
So the greatest common factor 7164 and 7172 is 4.

Also check out the Least Common Multiple of 7164 and 7172