What is the Greatest Common Factor of 88320 and 88329?

Greatest common factor (GCF) of 88320 and 88329 is 3.

GCF(88320,88329) = 3

We will now calculate the prime factors of 88320 and 88329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88320 and 88329.

How to find the GCF of 88320 and 88329?

We will first find the prime factorization of 88320 and 88329. After we will calculate the factors of 88320 and 88329 and find the biggest common factor number .

Step-1: Prime Factorization of 88320

Prime factors of 88320 are 2, 3, 5, 23. Prime factorization of 88320 in exponential form is:

88320 = 2⁸ × 3¹ × 5¹ × 23¹

Step-2: Prime Factorization of 88329

Prime factors of 88329 are 3, 29443. Prime factorization of 88329 in exponential form is:

88329 = 3¹ × 29443¹

Step-3: Factors of 88320

List of positive integer factors of 88320 that divides 88320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 64, 69, 80, 92, 96, 115, 120, 128, 138, 160, 184, 192, 230, 240, 256, 276, 320, 345, 368, 384, 460, 480, 552, 640, 690, 736, 768, 920, 960, 1104, 1280, 1380, 1472, 1840, 1920, 2208, 2760, 2944, 3680, 3840, 4416, 5520, 5888, 7360, 8832, 11040, 14720, 17664, 22080, 29440, 44160

Step-4: Factors of 88329

List of positive integer factors of 88329 that divides 88320 without a remainder.

1, 3, 29443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88320 and 88329. The biggest common factor number is the GCF number.
So the greatest common factor 88320 and 88329 is 3.

Also check out the Least Common Multiple of 88320 and 88329