What is the Greatest Common Factor of 44289 and 44296?

Greatest common factor (GCF) of 44289 and 44296 is 7.

GCF(44289,44296) = 7

We will now calculate the prime factors of 44289 and 44296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44289 and 44296.

How to find the GCF of 44289 and 44296?

We will first find the prime factorization of 44289 and 44296. After we will calculate the factors of 44289 and 44296 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 44296

Prime factors of 44296 are 2, 7, 113. Prime factorization of 44296 in exponential form is:

44296 = 2³ × 7² × 113¹

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 44296

List of positive integer factors of 44296 that divides 44289 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 113, 196, 226, 392, 452, 791, 904, 1582, 3164, 5537, 6328, 11074, 22148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44289 and 44296. The biggest common factor number is the GCF number.
So the greatest common factor 44289 and 44296 is 7.

Also check out the Least Common Multiple of 44289 and 44296