What is the Greatest Common Factor of 2085 and 2090?

Greatest common factor (GCF) of 2085 and 2090 is 5.

GCF(2085,2090) = 5

We will now calculate the prime factors of 2085 and 2090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2085 and 2090.

How to find the GCF of 2085 and 2090?

We will first find the prime factorization of 2085 and 2090. After we will calculate the factors of 2085 and 2090 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 2090

Prime factors of 2090 are 2, 5, 11, 19. Prime factorization of 2090 in exponential form is:

2090 = 2¹ × 5¹ × 11¹ × 19¹

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 2090

List of positive integer factors of 2090 that divides 2085 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2085 and 2090. The biggest common factor number is the GCF number.
So the greatest common factor 2085 and 2090 is 5.

Also check out the Least Common Multiple of 2085 and 2090