What is the Greatest Common Factor of 8778 and 8797?

Greatest common factor (GCF) of 8778 and 8797 is 19.

GCF(8778,8797) = 19

We will now calculate the prime factors of 8778 and 8797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8778 and 8797.

How to find the GCF of 8778 and 8797?

We will first find the prime factorization of 8778 and 8797. After we will calculate the factors of 8778 and 8797 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8797

Prime factors of 8797 are 19, 463. Prime factorization of 8797 in exponential form is:

8797 = 19¹ × 463¹

Step-3: Factors of 8778

List of positive integer factors of 8778 that divides 8778 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

Step-4: Factors of 8797

List of positive integer factors of 8797 that divides 8778 without a remainder.

1, 19, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8778 and 8797. The biggest common factor number is the GCF number.
So the greatest common factor 8778 and 8797 is 19.

Also check out the Least Common Multiple of 8778 and 8797