What is the Greatest Common Factor of 55744 and 55760?

Greatest common factor (GCF) of 55744 and 55760 is 16.

GCF(55744,55760) = 16

We will now calculate the prime factors of 55744 and 55760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55744 and 55760.

How to find the GCF of 55744 and 55760?

We will first find the prime factorization of 55744 and 55760. After we will calculate the factors of 55744 and 55760 and find the biggest common factor number .

Step-1: Prime Factorization of 55744

Prime factors of 55744 are 2, 13, 67. Prime factorization of 55744 in exponential form is:

55744 = 2⁶ × 13¹ × 67¹

Step-2: Prime Factorization of 55760

Prime factors of 55760 are 2, 5, 17, 41. Prime factorization of 55760 in exponential form is:

55760 = 2⁴ × 5¹ × 17¹ × 41¹

Step-3: Factors of 55744

List of positive integer factors of 55744 that divides 55744 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 67, 104, 134, 208, 268, 416, 536, 832, 871, 1072, 1742, 2144, 3484, 4288, 6968, 13936, 27872

Step-4: Factors of 55760

List of positive integer factors of 55760 that divides 55744 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 41, 68, 80, 82, 85, 136, 164, 170, 205, 272, 328, 340, 410, 656, 680, 697, 820, 1360, 1394, 1640, 2788, 3280, 3485, 5576, 6970, 11152, 13940, 27880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55744 and 55760. The biggest common factor number is the GCF number.
So the greatest common factor 55744 and 55760 is 16.

Also check out the Least Common Multiple of 55744 and 55760