What is the Greatest Common Factor of 17793 and 17805?

Greatest common factor (GCF) of 17793 and 17805 is 3.

GCF(17793,17805) = 3

We will now calculate the prime factors of 17793 and 17805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17793 and 17805.

How to find the GCF of 17793 and 17805?

We will first find the prime factorization of 17793 and 17805. After we will calculate the factors of 17793 and 17805 and find the biggest common factor number .

Step-1: Prime Factorization of 17793

Prime factors of 17793 are 3, 659. Prime factorization of 17793 in exponential form is:

17793 = 3³ × 659¹

Step-2: Prime Factorization of 17805

Prime factors of 17805 are 3, 5, 1187. Prime factorization of 17805 in exponential form is:

17805 = 3¹ × 5¹ × 1187¹

Step-3: Factors of 17793

List of positive integer factors of 17793 that divides 17793 without a remainder.

1, 3, 9, 27, 659, 1977, 5931

Step-4: Factors of 17805

List of positive integer factors of 17805 that divides 17793 without a remainder.

1, 3, 5, 15, 1187, 3561, 5935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17793 and 17805. The biggest common factor number is the GCF number.
So the greatest common factor 17793 and 17805 is 3.

Also check out the Least Common Multiple of 17793 and 17805