What is the Greatest Common Factor of 8910 and 8930?

Greatest common factor (GCF) of 8910 and 8930 is 10.

GCF(8910,8930) = 10

We will now calculate the prime factors of 8910 and 8930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8910 and 8930.

How to find the GCF of 8910 and 8930?

We will first find the prime factorization of 8910 and 8930. After we will calculate the factors of 8910 and 8930 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8930

Prime factors of 8930 are 2, 5, 19, 47. Prime factorization of 8930 in exponential form is:

8930 = 2¹ × 5¹ × 19¹ × 47¹

Step-3: Factors of 8910

List of positive integer factors of 8910 that divides 8910 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

Step-4: Factors of 8930

List of positive integer factors of 8930 that divides 8910 without a remainder.

1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8910 and 8930. The biggest common factor number is the GCF number.
So the greatest common factor 8910 and 8930 is 10.

Also check out the Least Common Multiple of 8910 and 8930