What is the Greatest Common Factor of 20105 and 20116?

Greatest common factor (GCF) of 20105 and 20116 is 1.

GCF(20105,20116) = 1

We will now calculate the prime factors of 20105 and 20116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20105 and 20116.

How to find the GCF of 20105 and 20116?

We will first find the prime factorization of 20105 and 20116. After we will calculate the factors of 20105 and 20116 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 20116

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

20116 = 2² × 47¹ × 107¹

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 20116

List of positive integer factors of 20116 that divides 20105 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20105 and 20116. The biggest common factor number is the GCF number.
So the greatest common factor 20105 and 20116 is 1.

Also check out the Least Common Multiple of 20105 and 20116