What is the Greatest Common Factor of 8784 and 8799?

Greatest common factor (GCF) of 8784 and 8799 is 3.

GCF(8784,8799) = 3

We will now calculate the prime factors of 8784 and 8799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8784 and 8799.

How to find the GCF of 8784 and 8799?

We will first find the prime factorization of 8784 and 8799. After we will calculate the factors of 8784 and 8799 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 8799

Prime factors of 8799 are 3, 7, 419. Prime factorization of 8799 in exponential form is:

8799 = 3¹ × 7¹ × 419¹

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 8799

List of positive integer factors of 8799 that divides 8784 without a remainder.

1, 3, 7, 21, 419, 1257, 2933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8784 and 8799. The biggest common factor number is the GCF number.
So the greatest common factor 8784 and 8799 is 3.

Also check out the Least Common Multiple of 8784 and 8799