What is the Greatest Common Factor of 2089 and 2108?

Greatest common factor (GCF) of 2089 and 2108 is 1.

GCF(2089,2108) = 1

We will now calculate the prime factors of 2089 and 2108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2089 and 2108.

How to find the GCF of 2089 and 2108?

We will first find the prime factorization of 2089 and 2108. After we will calculate the factors of 2089 and 2108 and find the biggest common factor number .

Step-1: Prime Factorization of 2089

Prime factors of 2089 are 2089. Prime factorization of 2089 in exponential form is:

2089 = 2089¹

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 2089

List of positive integer factors of 2089 that divides 2089 without a remainder.

Step-4: Factors of 2108

List of positive integer factors of 2108 that divides 2089 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 2089 and 2108. The biggest common factor number is the GCF number.
So the greatest common factor 2089 and 2108 is 1.

Also check out the Least Common Multiple of 2089 and 2108