What is the Greatest Common Factor of 8786 and 8798?

Greatest common factor (GCF) of 8786 and 8798 is 2.

GCF(8786,8798) = 2

We will now calculate the prime factors of 8786 and 8798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8786 and 8798.

How to find the GCF of 8786 and 8798?

We will first find the prime factorization of 8786 and 8798. After we will calculate the factors of 8786 and 8798 and find the biggest common factor number .

Step-1: Prime Factorization of 8786

Prime factors of 8786 are 2, 23, 191. Prime factorization of 8786 in exponential form is:

8786 = 2¹ × 23¹ × 191¹

Step-2: Prime Factorization of 8798

Prime factors of 8798 are 2, 53, 83. Prime factorization of 8798 in exponential form is:

8798 = 2¹ × 53¹ × 83¹

Step-3: Factors of 8786

List of positive integer factors of 8786 that divides 8786 without a remainder.

1, 2, 23, 46, 191, 382, 4393

Step-4: Factors of 8798

List of positive integer factors of 8798 that divides 8786 without a remainder.

1, 2, 53, 83, 106, 166, 4399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8786 and 8798. The biggest common factor number is the GCF number.
So the greatest common factor 8786 and 8798 is 2.

Also check out the Least Common Multiple of 8786 and 8798