What is the Greatest Common Factor of 44082 and 44100?

Greatest common factor (GCF) of 44082 and 44100 is 18.

GCF(44082,44100) = 18

We will now calculate the prime factors of 44082 and 44100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44082 and 44100.

How to find the GCF of 44082 and 44100?

We will first find the prime factorization of 44082 and 44100. After we will calculate the factors of 44082 and 44100 and find the biggest common factor number .

Step-1: Prime Factorization of 44082

Prime factors of 44082 are 2, 3, 31, 79. Prime factorization of 44082 in exponential form is:

44082 = 2¹ × 3² × 31¹ × 79¹

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 44082

List of positive integer factors of 44082 that divides 44082 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 79, 93, 158, 186, 237, 279, 474, 558, 711, 1422, 2449, 4898, 7347, 14694, 22041

Step-4: Factors of 44100

List of positive integer factors of 44100 that divides 44082 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 44082 and 44100. The biggest common factor number is the GCF number.
So the greatest common factor 44082 and 44100 is 18.

Also check out the Least Common Multiple of 44082 and 44100