What is the Greatest Common Factor of 8778 and 8792?

Greatest common factor (GCF) of 8778 and 8792 is 14.

GCF(8778,8792) = 14

We will now calculate the prime factors of 8778 and 8792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8778 and 8792.

How to find the GCF of 8778 and 8792?

We will first find the prime factorization of 8778 and 8792. After we will calculate the factors of 8778 and 8792 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 8792

Prime factors of 8792 are 2, 7, 157. Prime factorization of 8792 in exponential form is:

8792 = 2³ × 7¹ × 157¹

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 8792

List of positive integer factors of 8792 that divides 8778 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8778 and 8792. The biggest common factor number is the GCF number.
So the greatest common factor 8778 and 8792 is 14.

Also check out the Least Common Multiple of 8778 and 8792