What is the Greatest Common Factor of 44100 and 44115?

Greatest common factor (GCF) of 44100 and 44115 is 15.

GCF(44100,44115) = 15

We will now calculate the prime factors of 44100 and 44115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44100 and 44115.

How to find the GCF of 44100 and 44115?

We will first find the prime factorization of 44100 and 44115. After we will calculate the factors of 44100 and 44115 and find the biggest common factor number .

Step-1: Prime Factorization of 44100

Prime factors of 44100 are 2, 3, 5, 7. Prime factorization of 44100 in exponential form is:

44100 = 2² × 3² × 5² × 7²

Step-2: Prime Factorization of 44115

Prime factors of 44115 are 3, 5, 17, 173. Prime factorization of 44115 in exponential form is:

44115 = 3¹ × 5¹ × 17¹ × 173¹

Step-3: Factors of 44100

List of positive integer factors of 44100 that divides 44100 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 49, 50, 60, 63, 70, 75, 84, 90, 98, 100, 105, 126, 140, 147, 150, 175, 180, 196, 210, 225, 245, 252, 294, 300, 315, 350, 420, 441, 450, 490, 525, 588, 630, 700, 735, 882, 900, 980, 1050, 1225, 1260, 1470, 1575, 1764, 2100, 2205, 2450, 2940, 3150, 3675, 4410, 4900, 6300, 7350, 8820, 11025, 14700, 22050

Step-4: Factors of 44115

List of positive integer factors of 44115 that divides 44100 without a remainder.

1, 3, 5, 15, 17, 51, 85, 173, 255, 519, 865, 2595, 2941, 8823, 14705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44100 and 44115. The biggest common factor number is the GCF number.
So the greatest common factor 44100 and 44115 is 15.

Also check out the Least Common Multiple of 44100 and 44115