What is the Greatest Common Factor of 88800 and 88810?

Greatest common factor (GCF) of 88800 and 88810 is 10.

GCF(88800,88810) = 10

We will now calculate the prime factors of 88800 and 88810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88800 and 88810.

How to find the GCF of 88800 and 88810?

We will first find the prime factorization of 88800 and 88810. After we will calculate the factors of 88800 and 88810 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 88810

Prime factors of 88810 are 2, 5, 83, 107. Prime factorization of 88810 in exponential form is:

88810 = 2¹ × 5¹ × 83¹ × 107¹

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 88810

List of positive integer factors of 88810 that divides 88800 without a remainder.

1, 2, 5, 10, 83, 107, 166, 214, 415, 535, 830, 1070, 8881, 17762, 44405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88800 and 88810. The biggest common factor number is the GCF number.
So the greatest common factor 88800 and 88810 is 10.

Also check out the Least Common Multiple of 88800 and 88810