What is the Greatest Common Factor of 8805 and 8823?

Greatest common factor (GCF) of 8805 and 8823 is 3.

GCF(8805,8823) = 3

We will now calculate the prime factors of 8805 and 8823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8805 and 8823.

How to find the GCF of 8805 and 8823?

We will first find the prime factorization of 8805 and 8823. After we will calculate the factors of 8805 and 8823 and find the biggest common factor number .

Step-1: Prime Factorization of 8805

Prime factors of 8805 are 3, 5, 587. Prime factorization of 8805 in exponential form is:

8805 = 3¹ × 5¹ × 587¹

Step-2: Prime Factorization of 8823

Prime factors of 8823 are 3, 17, 173. Prime factorization of 8823 in exponential form is:

8823 = 3¹ × 17¹ × 173¹

Step-3: Factors of 8805

List of positive integer factors of 8805 that divides 8805 without a remainder.

1, 3, 5, 15, 587, 1761, 2935

Step-4: Factors of 8823

List of positive integer factors of 8823 that divides 8805 without a remainder.

1, 3, 17, 51, 173, 519, 2941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8805 and 8823. The biggest common factor number is the GCF number.
So the greatest common factor 8805 and 8823 is 3.

Also check out the Least Common Multiple of 8805 and 8823