What is the Greatest Common Factor of 89313 and 89328?

Greatest common factor (GCF) of 89313 and 89328 is 3.

GCF(89313,89328) = 3

We will now calculate the prime factors of 89313 and 89328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89313 and 89328.

How to find the GCF of 89313 and 89328?

We will first find the prime factorization of 89313 and 89328. After we will calculate the factors of 89313 and 89328 and find the biggest common factor number .

Step-1: Prime Factorization of 89313

Prime factors of 89313 are 3, 7, 4253. Prime factorization of 89313 in exponential form is:

89313 = 3¹ × 7¹ × 4253¹

Step-2: 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-3: Factors of 89313

List of positive integer factors of 89313 that divides 89313 without a remainder.

1, 3, 7, 21, 4253, 12759, 29771

Step-4: Factors of 89328

List of positive integer factors of 89328 that divides 89313 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89313 and 89328. The biggest common factor number is the GCF number.
So the greatest common factor 89313 and 89328 is 3.

Also check out the Least Common Multiple of 89313 and 89328