What is the Greatest Common Factor of 20088 and 20106?

Greatest common factor (GCF) of 20088 and 20106 is 18.

GCF(20088,20106) = 18

We will now calculate the prime factors of 20088 and 20106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20088 and 20106.

How to find the GCF of 20088 and 20106?

We will first find the prime factorization of 20088 and 20106. After we will calculate the factors of 20088 and 20106 and find the biggest common factor number .

Step-1: Prime Factorization of 20088

Prime factors of 20088 are 2, 3, 31. Prime factorization of 20088 in exponential form is:

20088 = 2³ × 3⁴ × 31¹

Step-2: Prime Factorization of 20106

Prime factors of 20106 are 2, 3, 1117. Prime factorization of 20106 in exponential form is:

20106 = 2¹ × 3² × 1117¹

Step-3: Factors of 20088

List of positive integer factors of 20088 that divides 20088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 81, 93, 108, 124, 162, 186, 216, 248, 279, 324, 372, 558, 648, 744, 837, 1116, 1674, 2232, 2511, 3348, 5022, 6696, 10044

Step-4: Factors of 20106

List of positive integer factors of 20106 that divides 20088 without a remainder.

1, 2, 3, 6, 9, 18, 1117, 2234, 3351, 6702, 10053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20088 and 20106. The biggest common factor number is the GCF number.
So the greatest common factor 20088 and 20106 is 18.

Also check out the Least Common Multiple of 20088 and 20106