What is the Greatest Common Factor of 20116 and 20130?

Greatest common factor (GCF) of 20116 and 20130 is 2.

GCF(20116,20130) = 2

We will now calculate the prime factors of 20116 and 20130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20116 and 20130.

How to find the GCF of 20116 and 20130?

We will first find the prime factorization of 20116 and 20130. After we will calculate the factors of 20116 and 20130 and find the biggest common factor number .

Step-1: Prime Factorization of 20116

Prime factors of 20116 are 2, 47, 107. Prime factorization of 20116 in exponential form is:

20116 = 2² × 47¹ × 107¹

Step-2: Prime Factorization of 20130

Prime factors of 20130 are 2, 3, 5, 11, 61. Prime factorization of 20130 in exponential form is:

20130 = 2¹ × 3¹ × 5¹ × 11¹ × 61¹

Step-3: Factors of 20116

List of positive integer factors of 20116 that divides 20116 without a remainder.

1, 2, 4, 47, 94, 107, 188, 214, 428, 5029, 10058

Step-4: Factors of 20130

List of positive integer factors of 20130 that divides 20116 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 61, 66, 110, 122, 165, 183, 305, 330, 366, 610, 671, 915, 1342, 1830, 2013, 3355, 4026, 6710, 10065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20116 and 20130. The biggest common factor number is the GCF number.
So the greatest common factor 20116 and 20130 is 2.

Also check out the Least Common Multiple of 20116 and 20130