What is the Greatest Common Factor of 8768 and 8778?

Greatest common factor (GCF) of 8768 and 8778 is 2.

GCF(8768,8778) = 2

We will now calculate the prime factors of 8768 and 8778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8768 and 8778.

How to find the GCF of 8768 and 8778?

We will first find the prime factorization of 8768 and 8778. After we will calculate the factors of 8768 and 8778 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 8778

Prime factors of 8778 are 2, 3, 7, 11, 19. Prime factorization of 8778 in exponential form is:

8778 = 2¹ × 3¹ × 7¹ × 11¹ × 19¹

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 8778

List of positive integer factors of 8778 that divides 8768 without a remainder.

1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8768 and 8778. The biggest common factor number is the GCF number.
So the greatest common factor 8768 and 8778 is 2.

Also check out the Least Common Multiple of 8768 and 8778