What is the Greatest Common Factor of 17172 and 17190?

Greatest common factor (GCF) of 17172 and 17190 is 18.

GCF(17172,17190) = 18

We will now calculate the prime factors of 17172 and 17190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17172 and 17190.

How to find the GCF of 17172 and 17190?

We will first find the prime factorization of 17172 and 17190. After we will calculate the factors of 17172 and 17190 and find the biggest common factor number .

Step-1: Prime Factorization of 17172

Prime factors of 17172 are 2, 3, 53. Prime factorization of 17172 in exponential form is:

17172 = 2² × 3⁴ × 53¹

Step-2: Prime Factorization of 17190

Prime factors of 17190 are 2, 3, 5, 191. Prime factorization of 17190 in exponential form is:

17190 = 2¹ × 3² × 5¹ × 191¹

Step-3: Factors of 17172

List of positive integer factors of 17172 that divides 17172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 81, 106, 108, 159, 162, 212, 318, 324, 477, 636, 954, 1431, 1908, 2862, 4293, 5724, 8586

Step-4: Factors of 17190

List of positive integer factors of 17190 that divides 17172 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 191, 382, 573, 955, 1146, 1719, 1910, 2865, 3438, 5730, 8595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17172 and 17190. The biggest common factor number is the GCF number.
So the greatest common factor 17172 and 17190 is 18.

Also check out the Least Common Multiple of 17172 and 17190