What is the Greatest Common Factor of 20108 and 20123?

Greatest common factor (GCF) of 20108 and 20123 is 1.

GCF(20108,20123) = 1

We will now calculate the prime factors of 20108 and 20123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20108 and 20123.

How to find the GCF of 20108 and 20123?

We will first find the prime factorization of 20108 and 20123. After we will calculate the factors of 20108 and 20123 and find the biggest common factor number .

Step-1: Prime Factorization of 20108

Prime factors of 20108 are 2, 11, 457. Prime factorization of 20108 in exponential form is:

20108 = 2² × 11¹ × 457¹

Step-2: Prime Factorization of 20123

Prime factors of 20123 are 20123. Prime factorization of 20123 in exponential form is:

20123 = 20123¹

Step-3: Factors of 20108

List of positive integer factors of 20108 that divides 20108 without a remainder.

1, 2, 4, 11, 22, 44, 457, 914, 1828, 5027, 10054

Step-4: Factors of 20123

List of positive integer factors of 20123 that divides 20108 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20108 and 20123. The biggest common factor number is the GCF number.
So the greatest common factor 20108 and 20123 is 1.

Also check out the Least Common Multiple of 20108 and 20123