What is the Greatest Common Factor of 20115 and 20130?

Greatest common factor (GCF) of 20115 and 20130 is 15.

GCF(20115,20130) = 15

We will now calculate the prime factors of 20115 and 20130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20115 and 20130.

How to find the GCF of 20115 and 20130?

We will first find the prime factorization of 20115 and 20130. After we will calculate the factors of 20115 and 20130 and find the biggest common factor number .

Step-1: Prime Factorization of 20115

Prime factors of 20115 are 3, 5, 149. Prime factorization of 20115 in exponential form is:

20115 = 3³ × 5¹ × 149¹

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 20115

List of positive integer factors of 20115 that divides 20115 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 149, 447, 745, 1341, 2235, 4023, 6705

Step-4: Factors of 20130

List of positive integer factors of 20130 that divides 20115 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 20115 and 20130. The biggest common factor number is the GCF number.
So the greatest common factor 20115 and 20130 is 15.

Also check out the Least Common Multiple of 20115 and 20130