What is the Greatest Common Factor of 2071 and 2090?

Greatest common factor (GCF) of 2071 and 2090 is 19.

GCF(2071,2090) = 19

We will now calculate the prime factors of 2071 and 2090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2071 and 2090.

How to find the GCF of 2071 and 2090?

We will first find the prime factorization of 2071 and 2090. After we will calculate the factors of 2071 and 2090 and find the biggest common factor number .

Step-1: Prime Factorization of 2071

Prime factors of 2071 are 19, 109. Prime factorization of 2071 in exponential form is:

2071 = 19¹ × 109¹

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 2071

List of positive integer factors of 2071 that divides 2071 without a remainder.

1, 19, 109

Step-4: Factors of 2090

List of positive integer factors of 2090 that divides 2071 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 2071 and 2090. The biggest common factor number is the GCF number.
So the greatest common factor 2071 and 2090 is 19.

Also check out the Least Common Multiple of 2071 and 2090