What is the Greatest Common Factor of 8834 and 8851?

Greatest common factor (GCF) of 8834 and 8851 is 1.

GCF(8834,8851) = 1

We will now calculate the prime factors of 8834 and 8851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8834 and 8851.

How to find the GCF of 8834 and 8851?

We will first find the prime factorization of 8834 and 8851. After we will calculate the factors of 8834 and 8851 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 8851

Prime factors of 8851 are 53, 167. Prime factorization of 8851 in exponential form is:

8851 = 53¹ × 167¹

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 8851

List of positive integer factors of 8851 that divides 8834 without a remainder.

1, 53, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8834 and 8851. The biggest common factor number is the GCF number.
So the greatest common factor 8834 and 8851 is 1.

Also check out the Least Common Multiple of 8834 and 8851