What is the Greatest Common Factor of 8789 and 8806?

Greatest common factor (GCF) of 8789 and 8806 is 17.

GCF(8789,8806) = 17

We will now calculate the prime factors of 8789 and 8806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8789 and 8806.

How to find the GCF of 8789 and 8806?

We will first find the prime factorization of 8789 and 8806. After we will calculate the factors of 8789 and 8806 and find the biggest common factor number .

Step-1: Prime Factorization of 8789

Prime factors of 8789 are 11, 17, 47. Prime factorization of 8789 in exponential form is:

8789 = 11¹ × 17¹ × 47¹

Step-2: Prime Factorization of 8806

Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:

8806 = 2¹ × 7¹ × 17¹ × 37¹

Step-3: Factors of 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1, 11, 17, 47, 187, 517, 799

Step-4: Factors of 8806

List of positive integer factors of 8806 that divides 8789 without a remainder.

1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8789 and 8806. The biggest common factor number is the GCF number.
So the greatest common factor 8789 and 8806 is 17.

Also check out the Least Common Multiple of 8789 and 8806