What is the Greatest Common Factor of 44864 and 44880?

Greatest common factor (GCF) of 44864 and 44880 is 16.

GCF(44864,44880) = 16

We will now calculate the prime factors of 44864 and 44880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44864 and 44880.

How to find the GCF of 44864 and 44880?

We will first find the prime factorization of 44864 and 44880. After we will calculate the factors of 44864 and 44880 and find the biggest common factor number .

Step-1: Prime Factorization of 44864

Prime factors of 44864 are 2, 701. Prime factorization of 44864 in exponential form is:

44864 = 2⁶ × 701¹

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 44864

List of positive integer factors of 44864 that divides 44864 without a remainder.

1, 2, 4, 8, 16, 32, 64, 701, 1402, 2804, 5608, 11216, 22432

Step-4: Factors of 44880

List of positive integer factors of 44880 that divides 44864 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 44864 and 44880. The biggest common factor number is the GCF number.
So the greatest common factor 44864 and 44880 is 16.

Also check out the Least Common Multiple of 44864 and 44880