What is the Greatest Common Factor of 20105 and 20115?

Greatest common factor (GCF) of 20105 and 20115 is 5.

GCF(20105,20115) = 5

We will now calculate the prime factors of 20105 and 20115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20105 and 20115.

How to find the GCF of 20105 and 20115?

We will first find the prime factorization of 20105 and 20115. After we will calculate the factors of 20105 and 20115 and find the biggest common factor number .

Step-1: Prime Factorization of 20105

Prime factors of 20105 are 5, 4021. Prime factorization of 20105 in exponential form is:

20105 = 5¹ × 4021¹

Step-2: 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-3: Factors of 20105

List of positive integer factors of 20105 that divides 20105 without a remainder.

1, 5, 4021

Step-4: Factors of 20115

List of positive integer factors of 20115 that divides 20105 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20105 and 20115. The biggest common factor number is the GCF number.
So the greatest common factor 20105 and 20115 is 5.

Also check out the Least Common Multiple of 20105 and 20115