What is the Greatest Common Factor of 20115 and 20127?

Greatest common factor (GCF) of 20115 and 20127 is 3.

GCF(20115,20127) = 3

We will now calculate the prime factors of 20115 and 20127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20115 and 20127.

How to find the GCF of 20115 and 20127?

We will first find the prime factorization of 20115 and 20127. After we will calculate the factors of 20115 and 20127 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 20127

Prime factors of 20127 are 3, 6709. Prime factorization of 20127 in exponential form is:

20127 = 3¹ × 6709¹

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 20127

List of positive integer factors of 20127 that divides 20115 without a remainder.

1, 3, 6709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20115 and 20127. The biggest common factor number is the GCF number.
So the greatest common factor 20115 and 20127 is 3.

Also check out the Least Common Multiple of 20115 and 20127