What is the Greatest Common Factor of 89328 and 89344?

Greatest common factor (GCF) of 89328 and 89344 is 16.

GCF(89328,89344) = 16

We will now calculate the prime factors of 89328 and 89344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89328 and 89344.

How to find the GCF of 89328 and 89344?

We will first find the prime factorization of 89328 and 89344. After we will calculate the factors of 89328 and 89344 and find the biggest common factor number .

Step-1: Prime Factorization of 89328

Prime factors of 89328 are 2, 3, 1861. Prime factorization of 89328 in exponential form is:

89328 = 2⁴ × 3¹ × 1861¹

Step-2: Prime Factorization of 89344

Prime factors of 89344 are 2, 349. Prime factorization of 89344 in exponential form is:

89344 = 2⁸ × 349¹

Step-3: Factors of 89328

List of positive integer factors of 89328 that divides 89328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1861, 3722, 5583, 7444, 11166, 14888, 22332, 29776, 44664

Step-4: Factors of 89344

List of positive integer factors of 89344 that divides 89328 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 349, 698, 1396, 2792, 5584, 11168, 22336, 44672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89328 and 89344. The biggest common factor number is the GCF number.
So the greatest common factor 89328 and 89344 is 16.

Also check out the Least Common Multiple of 89328 and 89344