What is the Greatest Common Factor of 44085 and 44100?

Greatest common factor (GCF) of 44085 and 44100 is 15.

GCF(44085,44100) = 15

We will now calculate the prime factors of 44085 and 44100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44085 and 44100.

How to find the GCF of 44085 and 44100?

We will first find the prime factorization of 44085 and 44100. After we will calculate the factors of 44085 and 44100 and find the biggest common factor number .

Step-1: Prime Factorization of 44085

Prime factors of 44085 are 3, 5, 2939. Prime factorization of 44085 in exponential form is:

44085 = 3¹ × 5¹ × 2939¹

Step-2: 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-3: Factors of 44085

List of positive integer factors of 44085 that divides 44085 without a remainder.

1, 3, 5, 15, 2939, 8817, 14695

Step-4: Factors of 44100

List of positive integer factors of 44100 that divides 44085 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44085 and 44100. The biggest common factor number is the GCF number.
So the greatest common factor 44085 and 44100 is 15.

Also check out the Least Common Multiple of 44085 and 44100