What is the Greatest Common Factor of 17738 and 17756?

Greatest common factor (GCF) of 17738 and 17756 is 2.

GCF(17738,17756) = 2

We will now calculate the prime factors of 17738 and 17756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17738 and 17756.

How to find the GCF of 17738 and 17756?

We will first find the prime factorization of 17738 and 17756. After we will calculate the factors of 17738 and 17756 and find the biggest common factor number .

Step-1: Prime Factorization of 17738

Prime factors of 17738 are 2, 7, 181. Prime factorization of 17738 in exponential form is:

17738 = 2¹ × 7² × 181¹

Step-2: 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-3: Factors of 17738

List of positive integer factors of 17738 that divides 17738 without a remainder.

1, 2, 7, 14, 49, 98, 181, 362, 1267, 2534, 8869

Step-4: Factors of 17756

List of positive integer factors of 17756 that divides 17738 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17738 and 17756. The biggest common factor number is the GCF number.
So the greatest common factor 17738 and 17756 is 2.

Also check out the Least Common Multiple of 17738 and 17756