What is the Greatest Common Factor of 17788 and 17806?

Greatest common factor (GCF) of 17788 and 17806 is 2.

GCF(17788,17806) = 2

We will now calculate the prime factors of 17788 and 17806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17788 and 17806.

How to find the GCF of 17788 and 17806?

We will first find the prime factorization of 17788 and 17806. After we will calculate the factors of 17788 and 17806 and find the biggest common factor number .

Step-1: Prime Factorization of 17788

Prime factors of 17788 are 2, 4447. Prime factorization of 17788 in exponential form is:

17788 = 2² × 4447¹

Step-2: Prime Factorization of 17806

Prime factors of 17806 are 2, 29, 307. Prime factorization of 17806 in exponential form is:

17806 = 2¹ × 29¹ × 307¹

Step-3: Factors of 17788

List of positive integer factors of 17788 that divides 17788 without a remainder.

1, 2, 4, 4447, 8894

Step-4: Factors of 17806

List of positive integer factors of 17806 that divides 17788 without a remainder.

1, 2, 29, 58, 307, 614, 8903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17788 and 17806. The biggest common factor number is the GCF number.
So the greatest common factor 17788 and 17806 is 2.

Also check out the Least Common Multiple of 17788 and 17806