What is the Greatest Common Factor of 8805 and 8814?

Greatest common factor (GCF) of 8805 and 8814 is 3.

GCF(8805,8814) = 3

We will now calculate the prime factors of 8805 and 8814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8805 and 8814.

How to find the GCF of 8805 and 8814?

We will first find the prime factorization of 8805 and 8814. After we will calculate the factors of 8805 and 8814 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 8814

Prime factors of 8814 are 2, 3, 13, 113. Prime factorization of 8814 in exponential form is:

8814 = 2¹ × 3¹ × 13¹ × 113¹

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 8814

List of positive integer factors of 8814 that divides 8805 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8805 and 8814. The biggest common factor number is the GCF number.
So the greatest common factor 8805 and 8814 is 3.

Also check out the Least Common Multiple of 8805 and 8814