What is the Greatest Common Factor of 8789 and 8800?

Greatest common factor (GCF) of 8789 and 8800 is 11.

GCF(8789,8800) = 11

We will now calculate the prime factors of 8789 and 8800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8789 and 8800.

How to find the GCF of 8789 and 8800?

We will first find the prime factorization of 8789 and 8800. After we will calculate the factors of 8789 and 8800 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 8800

Prime factors of 8800 are 2, 5, 11. Prime factorization of 8800 in exponential form is:

8800 = 2⁵ × 5² × 11¹

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 8800

List of positive integer factors of 8800 that divides 8789 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8789 and 8800. The biggest common factor number is the GCF number.
So the greatest common factor 8789 and 8800 is 11.

Also check out the Least Common Multiple of 8789 and 8800