What is the Greatest Common Factor of 88315 and 88320?

Greatest common factor (GCF) of 88315 and 88320 is 5.

GCF(88315,88320) = 5

We will now calculate the prime factors of 88315 and 88320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88315 and 88320.

How to find the GCF of 88315 and 88320?

We will first find the prime factorization of 88315 and 88320. After we will calculate the factors of 88315 and 88320 and find the biggest common factor number .

Step-1: Prime Factorization of 88315

Prime factors of 88315 are 5, 17, 1039. Prime factorization of 88315 in exponential form is:

88315 = 5¹ × 17¹ × 1039¹

Step-2: 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-3: Factors of 88315

List of positive integer factors of 88315 that divides 88315 without a remainder.

1, 5, 17, 85, 1039, 5195, 17663

Step-4: Factors of 88320

List of positive integer factors of 88320 that divides 88315 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88315 and 88320. The biggest common factor number is the GCF number.
So the greatest common factor 88315 and 88320 is 5.

Also check out the Least Common Multiple of 88315 and 88320