What is the Greatest Common Factor of 2085 and 2104?

Greatest common factor (GCF) of 2085 and 2104 is 1.

GCF(2085,2104) = 1

We will now calculate the prime factors of 2085 and 2104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2085 and 2104.

How to find the GCF of 2085 and 2104?

We will first find the prime factorization of 2085 and 2104. After we will calculate the factors of 2085 and 2104 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 2104

Prime factors of 2104 are 2, 263. Prime factorization of 2104 in exponential form is:

2104 = 2³ × 263¹

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 2104

List of positive integer factors of 2104 that divides 2085 without a remainder.

1, 2, 4, 8, 263, 526, 1052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2085 and 2104. The biggest common factor number is the GCF number.
So the greatest common factor 2085 and 2104 is 1.

Also check out the Least Common Multiple of 2085 and 2104