What is the Greatest Common Factor of 44090 and 44100?

Greatest common factor (GCF) of 44090 and 44100 is 10.

GCF(44090,44100) = 10

We will now calculate the prime factors of 44090 and 44100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44090 and 44100.

How to find the GCF of 44090 and 44100?

We will first find the prime factorization of 44090 and 44100. After we will calculate the factors of 44090 and 44100 and find the biggest common factor number .

Step-1: Prime Factorization of 44090

Prime factors of 44090 are 2, 5, 4409. Prime factorization of 44090 in exponential form is:

44090 = 2¹ × 5¹ × 4409¹

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 44090

List of positive integer factors of 44090 that divides 44090 without a remainder.

1, 2, 5, 10, 4409, 8818, 22045

Step-4: Factors of 44100

List of positive integer factors of 44100 that divides 44090 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 44090 and 44100. The biggest common factor number is the GCF number.
So the greatest common factor 44090 and 44100 is 10.

Also check out the Least Common Multiple of 44090 and 44100