What is the Greatest Common Factor of 44400 and 44415?

Greatest common factor (GCF) of 44400 and 44415 is 15.

GCF(44400,44415) = 15

We will now calculate the prime factors of 44400 and 44415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44400 and 44415.

How to find the GCF of 44400 and 44415?

We will first find the prime factorization of 44400 and 44415. After we will calculate the factors of 44400 and 44415 and find the biggest common factor number .

Step-1: Prime Factorization of 44400

Prime factors of 44400 are 2, 3, 5, 37. Prime factorization of 44400 in exponential form is:

44400 = 2⁴ × 3¹ × 5² × 37¹

Step-2: Prime Factorization of 44415

Prime factors of 44415 are 3, 5, 7, 47. Prime factorization of 44415 in exponential form is:

44415 = 3³ × 5¹ × 7¹ × 47¹

Step-3: Factors of 44400

List of positive integer factors of 44400 that divides 44400 without a remainder.

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

Step-4: Factors of 44415

List of positive integer factors of 44415 that divides 44400 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 47, 63, 105, 135, 141, 189, 235, 315, 329, 423, 705, 945, 987, 1269, 1645, 2115, 2961, 4935, 6345, 8883, 14805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44400 and 44415. The biggest common factor number is the GCF number.
So the greatest common factor 44400 and 44415 is 15.

Also check out the Least Common Multiple of 44400 and 44415