What is the Greatest Common Factor of 2098 and 2108?

Greatest common factor (GCF) of 2098 and 2108 is 2.

GCF(2098,2108) = 2

We will now calculate the prime factors of 2098 and 2108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2098 and 2108.

How to find the GCF of 2098 and 2108?

We will first find the prime factorization of 2098 and 2108. After we will calculate the factors of 2098 and 2108 and find the biggest common factor number .

Step-1: Prime Factorization of 2098

Prime factors of 2098 are 2, 1049. Prime factorization of 2098 in exponential form is:

2098 = 2¹ × 1049¹

Step-2: Prime Factorization of 2108

Prime factors of 2108 are 2, 17, 31. Prime factorization of 2108 in exponential form is:

2108 = 2² × 17¹ × 31¹

Step-3: Factors of 2098

List of positive integer factors of 2098 that divides 2098 without a remainder.

1, 2, 1049

Step-4: Factors of 2108

List of positive integer factors of 2108 that divides 2098 without a remainder.

1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2098 and 2108. The biggest common factor number is the GCF number.
So the greatest common factor 2098 and 2108 is 2.

Also check out the Least Common Multiple of 2098 and 2108