What is the Greatest Common Factor of 88785 and 88800?

Greatest common factor (GCF) of 88785 and 88800 is 15.

GCF(88785,88800) = 15

We will now calculate the prime factors of 88785 and 88800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88785 and 88800.

How to find the GCF of 88785 and 88800?

We will first find the prime factorization of 88785 and 88800. After we will calculate the factors of 88785 and 88800 and find the biggest common factor number .

Step-1: Prime Factorization of 88785

Prime factors of 88785 are 3, 5, 1973. Prime factorization of 88785 in exponential form is:

88785 = 3² × 5¹ × 1973¹

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 88785

List of positive integer factors of 88785 that divides 88785 without a remainder.

1, 3, 5, 9, 15, 45, 1973, 5919, 9865, 17757, 29595

Step-4: Factors of 88800

List of positive integer factors of 88800 that divides 88785 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 88785 and 88800. The biggest common factor number is the GCF number.
So the greatest common factor 88785 and 88800 is 15.

Also check out the Least Common Multiple of 88785 and 88800