What is the Greatest Common Factor of 55760 and 55780?

Greatest common factor (GCF) of 55760 and 55780 is 20.

GCF(55760,55780) = 20

We will now calculate the prime factors of 55760 and 55780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55760 and 55780.

How to find the GCF of 55760 and 55780?

We will first find the prime factorization of 55760 and 55780. After we will calculate the factors of 55760 and 55780 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 55780

Prime factors of 55780 are 2, 5, 2789. Prime factorization of 55780 in exponential form is:

55780 = 2² × 5¹ × 2789¹

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 55780

List of positive integer factors of 55780 that divides 55760 without a remainder.

1, 2, 4, 5, 10, 20, 2789, 5578, 11156, 13945, 27890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55760 and 55780. The biggest common factor number is the GCF number.
So the greatest common factor 55760 and 55780 is 20.

Also check out the Least Common Multiple of 55760 and 55780