What is the Greatest Common Factor of 8782 and 8788?

Greatest common factor (GCF) of 8782 and 8788 is 2.

GCF(8782,8788) = 2

We will now calculate the prime factors of 8782 and 8788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8782 and 8788.

How to find the GCF of 8782 and 8788?

We will first find the prime factorization of 8782 and 8788. After we will calculate the factors of 8782 and 8788 and find the biggest common factor number .

Step-1: Prime Factorization of 8782

Prime factors of 8782 are 2, 4391. Prime factorization of 8782 in exponential form is:

8782 = 2¹ × 4391¹

Step-2: Prime Factorization of 8788

Prime factors of 8788 are 2, 13. Prime factorization of 8788 in exponential form is:

8788 = 2² × 13³

Step-3: Factors of 8782

List of positive integer factors of 8782 that divides 8782 without a remainder.

1, 2, 4391

Step-4: Factors of 8788

List of positive integer factors of 8788 that divides 8782 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8782 and 8788. The biggest common factor number is the GCF number.
So the greatest common factor 8782 and 8788 is 2.

Also check out the Least Common Multiple of 8782 and 8788