What is the Greatest Common Factor of 8854 and 8866?

Greatest common factor (GCF) of 8854 and 8866 is 2.

GCF(8854,8866) = 2

We will now calculate the prime factors of 8854 and 8866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8854 and 8866.

How to find the GCF of 8854 and 8866?

We will first find the prime factorization of 8854 and 8866. After we will calculate the factors of 8854 and 8866 and find the biggest common factor number .

Step-1: Prime Factorization of 8854

Prime factors of 8854 are 2, 19, 233. Prime factorization of 8854 in exponential form is:

8854 = 2¹ × 19¹ × 233¹

Step-2: Prime Factorization of 8866

Prime factors of 8866 are 2, 11, 13, 31. Prime factorization of 8866 in exponential form is:

8866 = 2¹ × 11¹ × 13¹ × 31¹

Step-3: Factors of 8854

List of positive integer factors of 8854 that divides 8854 without a remainder.

1, 2, 19, 38, 233, 466, 4427

Step-4: Factors of 8866

List of positive integer factors of 8866 that divides 8854 without a remainder.

1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8854 and 8866. The biggest common factor number is the GCF number.
So the greatest common factor 8854 and 8866 is 2.

Also check out the Least Common Multiple of 8854 and 8866