What is the Greatest Common Factor of 89344 and 89360?

Greatest common factor (GCF) of 89344 and 89360 is 16.

GCF(89344,89360) = 16

We will now calculate the prime factors of 89344 and 89360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89344 and 89360.

How to find the GCF of 89344 and 89360?

We will first find the prime factorization of 89344 and 89360. After we will calculate the factors of 89344 and 89360 and find the biggest common factor number .

Step-1: Prime Factorization of 89344

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

89344 = 2⁸ × 349¹

Step-2: Prime Factorization of 89360

Prime factors of 89360 are 2, 5, 1117. Prime factorization of 89360 in exponential form is:

89360 = 2⁴ × 5¹ × 1117¹

Step-3: Factors of 89344

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

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

Step-4: Factors of 89360

List of positive integer factors of 89360 that divides 89344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1117, 2234, 4468, 5585, 8936, 11170, 17872, 22340, 44680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89344 and 89360. The biggest common factor number is the GCF number.
So the greatest common factor 89344 and 89360 is 16.

Also check out the Least Common Multiple of 89344 and 89360