What is the Greatest Common Factor of 55760 and 55777?

Greatest common factor (GCF) of 55760 and 55777 is 17.

GCF(55760,55777) = 17

We will now calculate the prime factors of 55760 and 55777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55760 and 55777.

How to find the GCF of 55760 and 55777?

We will first find the prime factorization of 55760 and 55777. After we will calculate the factors of 55760 and 55777 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55777

Prime factors of 55777 are 17, 193. Prime factorization of 55777 in exponential form is:

55777 = 17² × 193¹

Step-3: Factors of 55760

List of positive integer factors of 55760 that divides 55760 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

Step-4: Factors of 55777

List of positive integer factors of 55777 that divides 55760 without a remainder.

1, 17, 193, 289, 3281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55760 and 55777. The biggest common factor number is the GCF number.
So the greatest common factor 55760 and 55777 is 17.

Also check out the Least Common Multiple of 55760 and 55777