What is the Greatest Common Factor of 8905 and 8910?

Greatest common factor (GCF) of 8905 and 8910 is 5.

GCF(8905,8910) = 5

We will now calculate the prime factors of 8905 and 8910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8905 and 8910.

How to find the GCF of 8905 and 8910?

We will first find the prime factorization of 8905 and 8910. After we will calculate the factors of 8905 and 8910 and find the biggest common factor number .

Step-1: Prime Factorization of 8905

Prime factors of 8905 are 5, 13, 137. Prime factorization of 8905 in exponential form is:

8905 = 5¹ × 13¹ × 137¹

Step-2: Prime Factorization of 8910

Prime factors of 8910 are 2, 3, 5, 11. Prime factorization of 8910 in exponential form is:

8910 = 2¹ × 3⁴ × 5¹ × 11¹

Step-3: Factors of 8905

List of positive integer factors of 8905 that divides 8905 without a remainder.

1, 5, 13, 65, 137, 685, 1781

Step-4: Factors of 8910

List of positive integer factors of 8910 that divides 8905 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8905 and 8910. The biggest common factor number is the GCF number.
So the greatest common factor 8905 and 8910 is 5.

Also check out the Least Common Multiple of 8905 and 8910