What is the Greatest Common Factor of 88320 and 88337?

Greatest common factor (GCF) of 88320 and 88337 is 1.

GCF(88320,88337) = 1

We will now calculate the prime factors of 88320 and 88337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88320 and 88337.

How to find the GCF of 88320 and 88337?

We will first find the prime factorization of 88320 and 88337. After we will calculate the factors of 88320 and 88337 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 88337

Prime factors of 88337 are 88337. Prime factorization of 88337 in exponential form is:

88337 = 88337¹

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 88337

List of positive integer factors of 88337 that divides 88320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88320 and 88337. The biggest common factor number is the GCF number.
So the greatest common factor 88320 and 88337 is 1.

Also check out the Least Common Multiple of 88320 and 88337