What is the Greatest Common Factor of 2084 and 2101?

Greatest common factor (GCF) of 2084 and 2101 is 1.

GCF(2084,2101) = 1

We will now calculate the prime factors of 2084 and 2101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2084 and 2101.

How to find the GCF of 2084 and 2101?

We will first find the prime factorization of 2084 and 2101. After we will calculate the factors of 2084 and 2101 and find the biggest common factor number .

Step-1: Prime Factorization of 2084

Prime factors of 2084 are 2, 521. Prime factorization of 2084 in exponential form is:

2084 = 2² × 521¹

Step-2: Prime Factorization of 2101

Prime factors of 2101 are 11, 191. Prime factorization of 2101 in exponential form is:

2101 = 11¹ × 191¹

Step-3: Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1, 2, 4, 521, 1042

Step-4: Factors of 2101

List of positive integer factors of 2101 that divides 2084 without a remainder.

1, 11, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2084 and 2101. The biggest common factor number is the GCF number.
So the greatest common factor 2084 and 2101 is 1.

Also check out the Least Common Multiple of 2084 and 2101