What is the Greatest Common Factor of 88320 and 88338?

Greatest common factor (GCF) of 88320 and 88338 is 6.

GCF(88320,88338) = 6

We will now calculate the prime factors of 88320 and 88338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88320 and 88338.

How to find the GCF of 88320 and 88338?

We will first find the prime factorization of 88320 and 88338. After we will calculate the factors of 88320 and 88338 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 88338

Prime factors of 88338 are 2, 3, 14723. Prime factorization of 88338 in exponential form is:

88338 = 2¹ × 3¹ × 14723¹

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 88338

List of positive integer factors of 88338 that divides 88320 without a remainder.

1, 2, 3, 6, 14723, 29446, 44169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88320 and 88338. The biggest common factor number is the GCF number.
So the greatest common factor 88320 and 88338 is 6.

Also check out the Least Common Multiple of 88320 and 88338