What is the Greatest Common Factor of 8834 and 8838?

Greatest common factor (GCF) of 8834 and 8838 is 2.

GCF(8834,8838) = 2

We will now calculate the prime factors of 8834 and 8838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8834 and 8838.

How to find the GCF of 8834 and 8838?

We will first find the prime factorization of 8834 and 8838. After we will calculate the factors of 8834 and 8838 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 8838

Prime factors of 8838 are 2, 3, 491. Prime factorization of 8838 in exponential form is:

8838 = 2¹ × 3² × 491¹

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 8838

List of positive integer factors of 8838 that divides 8834 without a remainder.

1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8834 and 8838. The biggest common factor number is the GCF number.
So the greatest common factor 8834 and 8838 is 2.

Also check out the Least Common Multiple of 8834 and 8838