What is the Greatest Common Factor of 89328 and 89336?

Greatest common factor (GCF) of 89328 and 89336 is 8.

GCF(89328,89336) = 8

We will now calculate the prime factors of 89328 and 89336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89328 and 89336.

How to find the GCF of 89328 and 89336?

We will first find the prime factorization of 89328 and 89336. After we will calculate the factors of 89328 and 89336 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 89336

Prime factors of 89336 are 2, 13, 859. Prime factorization of 89336 in exponential form is:

89336 = 2³ × 13¹ × 859¹

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 89336

List of positive integer factors of 89336 that divides 89328 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 859, 1718, 3436, 6872, 11167, 22334, 44668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89328 and 89336. The biggest common factor number is the GCF number.
So the greatest common factor 89328 and 89336 is 8.

Also check out the Least Common Multiple of 89328 and 89336