What is the Greatest Common Factor of 55745 and 55760?

Greatest common factor (GCF) of 55745 and 55760 is 5.

GCF(55745,55760) = 5

We will now calculate the prime factors of 55745 and 55760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55745 and 55760.

How to find the GCF of 55745 and 55760?

We will first find the prime factorization of 55745 and 55760. After we will calculate the factors of 55745 and 55760 and find the biggest common factor number .

Step-1: Prime Factorization of 55745

Prime factors of 55745 are 5, 11149. Prime factorization of 55745 in exponential form is:

55745 = 5¹ × 11149¹

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 55745

List of positive integer factors of 55745 that divides 55745 without a remainder.

1, 5, 11149

Step-4: Factors of 55760

List of positive integer factors of 55760 that divides 55745 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 55745 and 55760. The biggest common factor number is the GCF number.
So the greatest common factor 55745 and 55760 is 5.

Also check out the Least Common Multiple of 55745 and 55760