What is the Greatest Common Factor of 17756 and 17774?

Greatest common factor (GCF) of 17756 and 17774 is 2.

GCF(17756,17774) = 2

We will now calculate the prime factors of 17756 and 17774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17756 and 17774.

How to find the GCF of 17756 and 17774?

We will first find the prime factorization of 17756 and 17774. After we will calculate the factors of 17756 and 17774 and find the biggest common factor number .

Step-1: Prime Factorization of 17756

Prime factors of 17756 are 2, 23, 193. Prime factorization of 17756 in exponential form is:

17756 = 2² × 23¹ × 193¹

Step-2: Prime Factorization of 17774

Prime factors of 17774 are 2, 8887. Prime factorization of 17774 in exponential form is:

17774 = 2¹ × 8887¹

Step-3: Factors of 17756

List of positive integer factors of 17756 that divides 17756 without a remainder.

1, 2, 4, 23, 46, 92, 193, 386, 772, 4439, 8878

Step-4: Factors of 17774

List of positive integer factors of 17774 that divides 17756 without a remainder.

1, 2, 8887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17756 and 17774. The biggest common factor number is the GCF number.
So the greatest common factor 17756 and 17774 is 2.

Also check out the Least Common Multiple of 17756 and 17774