What is the Greatest Common Factor of 55660 and 55668?

Greatest common factor (GCF) of 55660 and 55668 is 4.

GCF(55660,55668) = 4

We will now calculate the prime factors of 55660 and 55668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55660 and 55668.

How to find the GCF of 55660 and 55668?

We will first find the prime factorization of 55660 and 55668. After we will calculate the factors of 55660 and 55668 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55668

Prime factors of 55668 are 2, 3, 4639. Prime factorization of 55668 in exponential form is:

55668 = 2² × 3¹ × 4639¹

Step-3: Factors of 55660

List of positive integer factors of 55660 that divides 55660 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

Step-4: Factors of 55668

List of positive integer factors of 55668 that divides 55660 without a remainder.

1, 2, 3, 4, 6, 12, 4639, 9278, 13917, 18556, 27834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55660 and 55668. The biggest common factor number is the GCF number.
So the greatest common factor 55660 and 55668 is 4.

Also check out the Least Common Multiple of 55660 and 55668