What is the Greatest Common Factor of 88896 and 88912?

Greatest common factor (GCF) of 88896 and 88912 is 16.

GCF(88896,88912) = 16

We will now calculate the prime factors of 88896 and 88912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88896 and 88912.

How to find the GCF of 88896 and 88912?

We will first find the prime factorization of 88896 and 88912. After we will calculate the factors of 88896 and 88912 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88912

Prime factors of 88912 are 2, 5557. Prime factorization of 88912 in exponential form is:

88912 = 2⁴ × 5557¹

Step-3: Factors of 88896

List of positive integer factors of 88896 that divides 88896 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

Step-4: Factors of 88912

List of positive integer factors of 88912 that divides 88896 without a remainder.

1, 2, 4, 8, 16, 5557, 11114, 22228, 44456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88896 and 88912. The biggest common factor number is the GCF number.
So the greatest common factor 88896 and 88912 is 16.

Also check out the Least Common Multiple of 88896 and 88912