What is the Greatest Common Factor of 44880 and 44889?

Greatest common factor (GCF) of 44880 and 44889 is 3.

GCF(44880,44889) = 3

We will now calculate the prime factors of 44880 and 44889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44880 and 44889.

How to find the GCF of 44880 and 44889?

We will first find the prime factorization of 44880 and 44889. After we will calculate the factors of 44880 and 44889 and find the biggest common factor number .

Step-1: Prime Factorization of 44880

Prime factors of 44880 are 2, 3, 5, 11, 17. Prime factorization of 44880 in exponential form is:

44880 = 2⁴ × 3¹ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 44889

Prime factors of 44889 are 3, 13, 1151. Prime factorization of 44889 in exponential form is:

44889 = 3¹ × 13¹ × 1151¹

Step-3: Factors of 44880

List of positive integer factors of 44880 that divides 44880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 17, 20, 22, 24, 30, 33, 34, 40, 44, 48, 51, 55, 60, 66, 68, 80, 85, 88, 102, 110, 120, 132, 136, 165, 170, 176, 187, 204, 220, 240, 255, 264, 272, 330, 340, 374, 408, 440, 510, 528, 561, 660, 680, 748, 816, 880, 935, 1020, 1122, 1320, 1360, 1496, 1870, 2040, 2244, 2640, 2805, 2992, 3740, 4080, 4488, 5610, 7480, 8976, 11220, 14960, 22440

Step-4: Factors of 44889

List of positive integer factors of 44889 that divides 44880 without a remainder.

1, 3, 13, 39, 1151, 3453, 14963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44880 and 44889. The biggest common factor number is the GCF number.
So the greatest common factor 44880 and 44889 is 3.

Also check out the Least Common Multiple of 44880 and 44889