What is the Greatest Common Factor of 17790 and 17808?

Greatest common factor (GCF) of 17790 and 17808 is 6.

GCF(17790,17808) = 6

We will now calculate the prime factors of 17790 and 17808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17790 and 17808.

How to find the GCF of 17790 and 17808?

We will first find the prime factorization of 17790 and 17808. After we will calculate the factors of 17790 and 17808 and find the biggest common factor number .

Step-1: Prime Factorization of 17790

Prime factors of 17790 are 2, 3, 5, 593. Prime factorization of 17790 in exponential form is:

17790 = 2¹ × 3¹ × 5¹ × 593¹

Step-2: Prime Factorization of 17808

Prime factors of 17808 are 2, 3, 7, 53. Prime factorization of 17808 in exponential form is:

17808 = 2⁴ × 3¹ × 7¹ × 53¹

Step-3: Factors of 17790

List of positive integer factors of 17790 that divides 17790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 593, 1186, 1779, 2965, 3558, 5930, 8895

Step-4: Factors of 17808

List of positive integer factors of 17808 that divides 17790 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 53, 56, 84, 106, 112, 159, 168, 212, 318, 336, 371, 424, 636, 742, 848, 1113, 1272, 1484, 2226, 2544, 2968, 4452, 5936, 8904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17790 and 17808. The biggest common factor number is the GCF number.
So the greatest common factor 17790 and 17808 is 6.

Also check out the Least Common Multiple of 17790 and 17808