What is the Greatest Common Factor of 17775 and 17791?

Greatest common factor (GCF) of 17775 and 17791 is 1.

GCF(17775,17791) = 1

We will now calculate the prime factors of 17775 and 17791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17775 and 17791.

How to find the GCF of 17775 and 17791?

We will first find the prime factorization of 17775 and 17791. After we will calculate the factors of 17775 and 17791 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 17791

Prime factors of 17791 are 17791. Prime factorization of 17791 in exponential form is:

17791 = 17791¹

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 17791

List of positive integer factors of 17791 that divides 17775 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17775 and 17791. The biggest common factor number is the GCF number.
So the greatest common factor 17775 and 17791 is 1.

Also check out the Least Common Multiple of 17775 and 17791