What is the Greatest Common Factor of 88884 and 88896?

Greatest common factor (GCF) of 88884 and 88896 is 12.

GCF(88884,88896) = 12

We will now calculate the prime factors of 88884 and 88896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88884 and 88896.

How to find the GCF of 88884 and 88896?

We will first find the prime factorization of 88884 and 88896. After we will calculate the factors of 88884 and 88896 and find the biggest common factor number .

Step-1: Prime Factorization of 88884

Prime factors of 88884 are 2, 3, 823. Prime factorization of 88884 in exponential form is:

88884 = 2² × 3³ × 823¹

Step-2: Prime Factorization of 88896

Prime factors of 88896 are 2, 3, 463. Prime factorization of 88896 in exponential form is:

88896 = 2⁶ × 3¹ × 463¹

Step-3: Factors of 88884

List of positive integer factors of 88884 that divides 88884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 823, 1646, 2469, 3292, 4938, 7407, 9876, 14814, 22221, 29628, 44442

Step-4: Factors of 88896

List of positive integer factors of 88896 that divides 88884 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 463, 926, 1389, 1852, 2778, 3704, 5556, 7408, 11112, 14816, 22224, 29632, 44448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88884 and 88896. The biggest common factor number is the GCF number.
So the greatest common factor 88884 and 88896 is 12.

Also check out the Least Common Multiple of 88884 and 88896