What is the Greatest Common Factor of 44871 and 44880?

Greatest common factor (GCF) of 44871 and 44880 is 3.

GCF(44871,44880) = 3

We will now calculate the prime factors of 44871 and 44880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44871 and 44880.

How to find the GCF of 44871 and 44880?

We will first find the prime factorization of 44871 and 44880. After we will calculate the factors of 44871 and 44880 and find the biggest common factor number .

Step-1: Prime Factorization of 44871

Prime factors of 44871 are 3, 14957. Prime factorization of 44871 in exponential form is:

44871 = 3¹ × 14957¹

Step-2: 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-3: Factors of 44871

List of positive integer factors of 44871 that divides 44871 without a remainder.

1, 3, 14957

Step-4: Factors of 44880

List of positive integer factors of 44880 that divides 44871 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44871 and 44880. The biggest common factor number is the GCF number.
So the greatest common factor 44871 and 44880 is 3.

Also check out the Least Common Multiple of 44871 and 44880