What is the Greatest Common Factor of 88320 and 88327?

Greatest common factor (GCF) of 88320 and 88327 is 1.

GCF(88320,88327) = 1

We will now calculate the prime factors of 88320 and 88327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88320 and 88327.

How to find the GCF of 88320 and 88327?

We will first find the prime factorization of 88320 and 88327. After we will calculate the factors of 88320 and 88327 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 88327

Prime factors of 88327 are 88327. Prime factorization of 88327 in exponential form is:

88327 = 88327¹

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 88327

List of positive integer factors of 88327 that divides 88320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88320 and 88327. The biggest common factor number is the GCF number.
So the greatest common factor 88320 and 88327 is 1.

Also check out the Least Common Multiple of 88320 and 88327