What is the Greatest Common Factor of 88784 and 88800?

Greatest common factor (GCF) of 88784 and 88800 is 16.

GCF(88784,88800) = 16

We will now calculate the prime factors of 88784 and 88800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88784 and 88800.

How to find the GCF of 88784 and 88800?

We will first find the prime factorization of 88784 and 88800. After we will calculate the factors of 88784 and 88800 and find the biggest common factor number .

Step-1: Prime Factorization of 88784

Prime factors of 88784 are 2, 31, 179. Prime factorization of 88784 in exponential form is:

88784 = 2⁴ × 31¹ × 179¹

Step-2: 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-3: Factors of 88784

List of positive integer factors of 88784 that divides 88784 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 179, 248, 358, 496, 716, 1432, 2864, 5549, 11098, 22196, 44392

Step-4: Factors of 88800

List of positive integer factors of 88800 that divides 88784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88784 and 88800. The biggest common factor number is the GCF number.
So the greatest common factor 88784 and 88800 is 16.

Also check out the Least Common Multiple of 88784 and 88800