What is the Greatest Common Factor of 20108 and 20126?

Greatest common factor (GCF) of 20108 and 20126 is 2.

GCF(20108,20126) = 2

We will now calculate the prime factors of 20108 and 20126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20108 and 20126.

How to find the GCF of 20108 and 20126?

We will first find the prime factorization of 20108 and 20126. After we will calculate the factors of 20108 and 20126 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 20126

Prime factors of 20126 are 2, 29, 347. Prime factorization of 20126 in exponential form is:

20126 = 2¹ × 29¹ × 347¹

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 20126

List of positive integer factors of 20126 that divides 20108 without a remainder.

1, 2, 29, 58, 347, 694, 10063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20108 and 20126. The biggest common factor number is the GCF number.
So the greatest common factor 20108 and 20126 is 2.

Also check out the Least Common Multiple of 20108 and 20126