What is the Greatest Common Factor of 2085 and 2103?

Greatest common factor (GCF) of 2085 and 2103 is 3.

GCF(2085,2103) = 3

We will now calculate the prime factors of 2085 and 2103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2085 and 2103.

How to find the GCF of 2085 and 2103?

We will first find the prime factorization of 2085 and 2103. After we will calculate the factors of 2085 and 2103 and find the biggest common factor number .

Step-1: Prime Factorization of 2085

Prime factors of 2085 are 3, 5, 139. Prime factorization of 2085 in exponential form is:

2085 = 3¹ × 5¹ × 139¹

Step-2: Prime Factorization of 2103

Prime factors of 2103 are 3, 701. Prime factorization of 2103 in exponential form is:

2103 = 3¹ × 701¹

Step-3: Factors of 2085

List of positive integer factors of 2085 that divides 2085 without a remainder.

1, 3, 5, 15, 139, 417, 695

Step-4: Factors of 2103

List of positive integer factors of 2103 that divides 2085 without a remainder.

1, 3, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2085 and 2103. The biggest common factor number is the GCF number.
So the greatest common factor 2085 and 2103 is 3.

Also check out the Least Common Multiple of 2085 and 2103