What is the Greatest Common Factor of 20098 and 20108?

Greatest common factor (GCF) of 20098 and 20108 is 2.

GCF(20098,20108) = 2

We will now calculate the prime factors of 20098 and 20108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20098 and 20108.

How to find the GCF of 20098 and 20108?

We will first find the prime factorization of 20098 and 20108. After we will calculate the factors of 20098 and 20108 and find the biggest common factor number .

Step-1: Prime Factorization of 20098

Prime factors of 20098 are 2, 13, 773. Prime factorization of 20098 in exponential form is:

20098 = 2¹ × 13¹ × 773¹

Step-2: 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-3: Factors of 20098

List of positive integer factors of 20098 that divides 20098 without a remainder.

1, 2, 13, 26, 773, 1546, 10049

Step-4: Factors of 20108

List of positive integer factors of 20108 that divides 20098 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20098 and 20108. The biggest common factor number is the GCF number.
So the greatest common factor 20098 and 20108 is 2.

Also check out the Least Common Multiple of 20098 and 20108