What is the Greatest Common Factor of 88800 and 88805?

Greatest common factor (GCF) of 88800 and 88805 is 5.

GCF(88800,88805) = 5

We will now calculate the prime factors of 88800 and 88805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88800 and 88805.

How to find the GCF of 88800 and 88805?

We will first find the prime factorization of 88800 and 88805. After we will calculate the factors of 88800 and 88805 and find the biggest common factor number .

Step-1: Prime Factorization of 88800

Prime factors of 88800 are 2, 3, 5, 37. Prime factorization of 88800 in exponential form is:

88800 = 2⁵ × 3¹ × 5² × 37¹

Step-2: Prime Factorization of 88805

Prime factors of 88805 are 5, 17761. Prime factorization of 88805 in exponential form is:

88805 = 5¹ × 17761¹

Step-3: Factors of 88800

List of positive integer factors of 88800 that divides 88800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 37, 40, 48, 50, 60, 74, 75, 80, 96, 100, 111, 120, 148, 150, 160, 185, 200, 222, 240, 296, 300, 370, 400, 444, 480, 555, 592, 600, 740, 800, 888, 925, 1110, 1184, 1200, 1480, 1776, 1850, 2220, 2400, 2775, 2960, 3552, 3700, 4440, 5550, 5920, 7400, 8880, 11100, 14800, 17760, 22200, 29600, 44400

Step-4: Factors of 88805

List of positive integer factors of 88805 that divides 88800 without a remainder.

1, 5, 17761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88800 and 88805. The biggest common factor number is the GCF number.
So the greatest common factor 88800 and 88805 is 5.

Also check out the Least Common Multiple of 88800 and 88805