What is the Greatest Common Factor of 44289 and 44298?

Greatest common factor (GCF) of 44289 and 44298 is 9.

GCF(44289,44298) = 9

We will now calculate the prime factors of 44289 and 44298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44289 and 44298.

How to find the GCF of 44289 and 44298?

We will first find the prime factorization of 44289 and 44298. After we will calculate the factors of 44289 and 44298 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44298

Prime factors of 44298 are 2, 3, 23, 107. Prime factorization of 44298 in exponential form is:

44298 = 2¹ × 3² × 23¹ × 107¹

Step-3: Factors of 44289

List of positive integer factors of 44289 that divides 44289 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

Step-4: Factors of 44298

List of positive integer factors of 44298 that divides 44289 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 107, 138, 207, 214, 321, 414, 642, 963, 1926, 2461, 4922, 7383, 14766, 22149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44289 and 44298. The biggest common factor number is the GCF number.
So the greatest common factor 44289 and 44298 is 9.

Also check out the Least Common Multiple of 44289 and 44298