What is the Greatest Common Factor of 17782 and 17799?

Greatest common factor (GCF) of 17782 and 17799 is 17.

GCF(17782,17799) = 17

We will now calculate the prime factors of 17782 and 17799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17782 and 17799.

How to find the GCF of 17782 and 17799?

We will first find the prime factorization of 17782 and 17799. After we will calculate the factors of 17782 and 17799 and find the biggest common factor number .

Step-1: Prime Factorization of 17782

Prime factors of 17782 are 2, 17, 523. Prime factorization of 17782 in exponential form is:

17782 = 2¹ × 17¹ × 523¹

Step-2: Prime Factorization of 17799

Prime factors of 17799 are 3, 17, 349. Prime factorization of 17799 in exponential form is:

17799 = 3¹ × 17¹ × 349¹

Step-3: Factors of 17782

List of positive integer factors of 17782 that divides 17782 without a remainder.

1, 2, 17, 34, 523, 1046, 8891

Step-4: Factors of 17799

List of positive integer factors of 17799 that divides 17782 without a remainder.

1, 3, 17, 51, 349, 1047, 5933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17782 and 17799. The biggest common factor number is the GCF number.
So the greatest common factor 17782 and 17799 is 17.

Also check out the Least Common Multiple of 17782 and 17799