What is the Greatest Common Factor of 8789 and 8804?

Greatest common factor (GCF) of 8789 and 8804 is 1.

GCF(8789,8804) = 1

We will now calculate the prime factors of 8789 and 8804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8789 and 8804.

How to find the GCF of 8789 and 8804?

We will first find the prime factorization of 8789 and 8804. After we will calculate the factors of 8789 and 8804 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 8804

Prime factors of 8804 are 2, 31, 71. Prime factorization of 8804 in exponential form is:

8804 = 2² × 31¹ × 71¹

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 8804

List of positive integer factors of 8804 that divides 8789 without a remainder.

1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8789 and 8804. The biggest common factor number is the GCF number.
So the greatest common factor 8789 and 8804 is 1.

Also check out the Least Common Multiple of 8789 and 8804