What is the Greatest Common Factor of 8172 and 8190?

Greatest common factor (GCF) of 8172 and 8190 is 18.

GCF(8172,8190) = 18

We will now calculate the prime factors of 8172 and 8190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8172 and 8190.

How to find the GCF of 8172 and 8190?

We will first find the prime factorization of 8172 and 8190. After we will calculate the factors of 8172 and 8190 and find the biggest common factor number .

Step-1: Prime Factorization of 8172

Prime factors of 8172 are 2, 3, 227. Prime factorization of 8172 in exponential form is:

8172 = 2² × 3² × 227¹

Step-2: Prime Factorization of 8190

Prime factors of 8190 are 2, 3, 5, 7, 13. Prime factorization of 8190 in exponential form is:

8190 = 2¹ × 3² × 5¹ × 7¹ × 13¹

Step-3: Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086

Step-4: Factors of 8190

List of positive integer factors of 8190 that divides 8172 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8172 and 8190. The biggest common factor number is the GCF number.
So the greatest common factor 8172 and 8190 is 18.

Also check out the Least Common Multiple of 8172 and 8190