What is the Greatest Common Factor of 8834 and 8854?

Greatest common factor (GCF) of 8834 and 8854 is 2.

GCF(8834,8854) = 2

We will now calculate the prime factors of 8834 and 8854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8834 and 8854.

How to find the GCF of 8834 and 8854?

We will first find the prime factorization of 8834 and 8854. After we will calculate the factors of 8834 and 8854 and find the biggest common factor number .

Step-1: Prime Factorization of 8834

Prime factors of 8834 are 2, 7, 631. Prime factorization of 8834 in exponential form is:

8834 = 2¹ × 7¹ × 631¹

Step-2: 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-3: Factors of 8834

List of positive integer factors of 8834 that divides 8834 without a remainder.

1, 2, 7, 14, 631, 1262, 4417

Step-4: Factors of 8854

List of positive integer factors of 8854 that divides 8834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8834 and 8854. The biggest common factor number is the GCF number.
So the greatest common factor 8834 and 8854 is 2.

Also check out the Least Common Multiple of 8834 and 8854