What is the Greatest Common Factor of 8768 and 8782?

Greatest common factor (GCF) of 8768 and 8782 is 2.

GCF(8768,8782) = 2

We will now calculate the prime factors of 8768 and 8782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8768 and 8782.

How to find the GCF of 8768 and 8782?

We will first find the prime factorization of 8768 and 8782. After we will calculate the factors of 8768 and 8782 and find the biggest common factor number .

Step-1: Prime Factorization of 8768

Prime factors of 8768 are 2, 137. Prime factorization of 8768 in exponential form is:

8768 = 2⁶ × 137¹

Step-2: Prime Factorization of 8782

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

8782 = 2¹ × 4391¹

Step-3: Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384

Step-4: Factors of 8782

List of positive integer factors of 8782 that divides 8768 without a remainder.

1, 2, 4391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8768 and 8782. The biggest common factor number is the GCF number.
So the greatest common factor 8768 and 8782 is 2.

Also check out the Least Common Multiple of 8768 and 8782