What is the Greatest Common Factor of 44280 and 44289?

Greatest common factor (GCF) of 44280 and 44289 is 9.

GCF(44280,44289) = 9

We will now calculate the prime factors of 44280 and 44289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44280 and 44289.

How to find the GCF of 44280 and 44289?

We will first find the prime factorization of 44280 and 44289. After we will calculate the factors of 44280 and 44289 and find the biggest common factor number .

Step-1: Prime Factorization of 44280

Prime factors of 44280 are 2, 3, 5, 41. Prime factorization of 44280 in exponential form is:

44280 = 2³ × 3³ × 5¹ × 41¹

Step-2: Prime Factorization of 44289

Prime factors of 44289 are 3, 7, 19, 37. Prime factorization of 44289 in exponential form is:

44289 = 3² × 7¹ × 19¹ × 37¹

Step-3: Factors of 44280

List of positive integer factors of 44280 that divides 44280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 41, 45, 54, 60, 72, 82, 90, 108, 120, 123, 135, 164, 180, 205, 216, 246, 270, 328, 360, 369, 410, 492, 540, 615, 738, 820, 984, 1080, 1107, 1230, 1476, 1640, 1845, 2214, 2460, 2952, 3690, 4428, 4920, 5535, 7380, 8856, 11070, 14760, 22140

Step-4: Factors of 44289

List of positive integer factors of 44289 that divides 44280 without a remainder.

1, 3, 7, 9, 19, 21, 37, 57, 63, 111, 133, 171, 259, 333, 399, 703, 777, 1197, 2109, 2331, 4921, 6327, 14763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44280 and 44289. The biggest common factor number is the GCF number.
So the greatest common factor 44280 and 44289 is 9.

Also check out the Least Common Multiple of 44280 and 44289