What is the Greatest Common Factor of 17775 and 17790?

Greatest common factor (GCF) of 17775 and 17790 is 15.

GCF(17775,17790) = 15

We will now calculate the prime factors of 17775 and 17790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17775 and 17790.

How to find the GCF of 17775 and 17790?

We will first find the prime factorization of 17775 and 17790. After we will calculate the factors of 17775 and 17790 and find the biggest common factor number .

Step-1: Prime Factorization of 17775

Prime factors of 17775 are 3, 5, 79. Prime factorization of 17775 in exponential form is:

17775 = 3² × 5² × 79¹

Step-2: 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-3: Factors of 17775

List of positive integer factors of 17775 that divides 17775 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 79, 225, 237, 395, 711, 1185, 1975, 3555, 5925

Step-4: Factors of 17790

List of positive integer factors of 17790 that divides 17775 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17775 and 17790. The biggest common factor number is the GCF number.
So the greatest common factor 17775 and 17790 is 15.

Also check out the Least Common Multiple of 17775 and 17790