What is the Greatest Common Factor of 8784 and 8796?

Greatest common factor (GCF) of 8784 and 8796 is 12.

GCF(8784,8796) = 12

We will now calculate the prime factors of 8784 and 8796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8784 and 8796.

How to find the GCF of 8784 and 8796?

We will first find the prime factorization of 8784 and 8796. After we will calculate the factors of 8784 and 8796 and find the biggest common factor number .

Step-1: Prime Factorization of 8784

Prime factors of 8784 are 2, 3, 61. Prime factorization of 8784 in exponential form is:

8784 = 2⁴ × 3² × 61¹

Step-2: Prime Factorization of 8796

Prime factors of 8796 are 2, 3, 733. Prime factorization of 8796 in exponential form is:

8796 = 2² × 3¹ × 733¹

Step-3: Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392

Step-4: Factors of 8796

List of positive integer factors of 8796 that divides 8784 without a remainder.

1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8784 and 8796. The biggest common factor number is the GCF number.
So the greatest common factor 8784 and 8796 is 12.

Also check out the Least Common Multiple of 8784 and 8796