What is the Greatest Common Factor of 55640 and 55660?

Greatest common factor (GCF) of 55640 and 55660 is 20.

GCF(55640,55660) = 20

We will now calculate the prime factors of 55640 and 55660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55640 and 55660.

How to find the GCF of 55640 and 55660?

We will first find the prime factorization of 55640 and 55660. After we will calculate the factors of 55640 and 55660 and find the biggest common factor number .

Step-1: Prime Factorization of 55640

Prime factors of 55640 are 2, 5, 13, 107. Prime factorization of 55640 in exponential form is:

55640 = 2³ × 5¹ × 13¹ × 107¹

Step-2: Prime Factorization of 55660

Prime factors of 55660 are 2, 5, 11, 23. Prime factorization of 55660 in exponential form is:

55660 = 2² × 5¹ × 11² × 23¹

Step-3: Factors of 55640

List of positive integer factors of 55640 that divides 55640 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 107, 130, 214, 260, 428, 520, 535, 856, 1070, 1391, 2140, 2782, 4280, 5564, 6955, 11128, 13910, 27820

Step-4: Factors of 55660

List of positive integer factors of 55660 that divides 55640 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 121, 220, 230, 242, 253, 460, 484, 506, 605, 1012, 1210, 1265, 2420, 2530, 2783, 5060, 5566, 11132, 13915, 27830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55640 and 55660. The biggest common factor number is the GCF number.
So the greatest common factor 55640 and 55660 is 20.

Also check out the Least Common Multiple of 55640 and 55660