What is the Greatest Common Factor of 8854 and 8862?

Greatest common factor (GCF) of 8854 and 8862 is 2.

GCF(8854,8862) = 2

We will now calculate the prime factors of 8854 and 8862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8854 and 8862.

How to find the GCF of 8854 and 8862?

We will first find the prime factorization of 8854 and 8862. After we will calculate the factors of 8854 and 8862 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 8862

Prime factors of 8862 are 2, 3, 7, 211. Prime factorization of 8862 in exponential form is:

8862 = 2¹ × 3¹ × 7¹ × 211¹

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 8862

List of positive integer factors of 8862 that divides 8854 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8854 and 8862. The biggest common factor number is the GCF number.
So the greatest common factor 8854 and 8862 is 2.

Also check out the Least Common Multiple of 8854 and 8862