What is the Greatest Common Factor of 55740 and 55760?

Greatest common factor (GCF) of 55740 and 55760 is 20.

GCF(55740,55760) = 20

We will now calculate the prime factors of 55740 and 55760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55740 and 55760.

How to find the GCF of 55740 and 55760?

We will first find the prime factorization of 55740 and 55760. After we will calculate the factors of 55740 and 55760 and find the biggest common factor number .

Step-1: Prime Factorization of 55740

Prime factors of 55740 are 2, 3, 5, 929. Prime factorization of 55740 in exponential form is:

55740 = 2² × 3¹ × 5¹ × 929¹

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 55740

List of positive integer factors of 55740 that divides 55740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 929, 1858, 2787, 3716, 4645, 5574, 9290, 11148, 13935, 18580, 27870

Step-4: Factors of 55760

List of positive integer factors of 55760 that divides 55740 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 55740 and 55760. The biggest common factor number is the GCF number.
So the greatest common factor 55740 and 55760 is 20.

Also check out the Least Common Multiple of 55740 and 55760