What is the Greatest Common Factor of 2067 and 2071?

Greatest common factor (GCF) of 2067 and 2071 is 1.

GCF(2067,2071) = 1

We will now calculate the prime factors of 2067 and 2071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2067 and 2071.

How to find the GCF of 2067 and 2071?

We will first find the prime factorization of 2067 and 2071. After we will calculate the factors of 2067 and 2071 and find the biggest common factor number .

Step-1: Prime Factorization of 2067

Prime factors of 2067 are 3, 13, 53. Prime factorization of 2067 in exponential form is:

2067 = 3¹ × 13¹ × 53¹

Step-2: Prime Factorization of 2071

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

2071 = 19¹ × 109¹

Step-3: Factors of 2067

List of positive integer factors of 2067 that divides 2067 without a remainder.

1, 3, 13, 39, 53, 159, 689

Step-4: Factors of 2071

List of positive integer factors of 2071 that divides 2067 without a remainder.

1, 19, 109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2067 and 2071. The biggest common factor number is the GCF number.
So the greatest common factor 2067 and 2071 is 1.

Also check out the Least Common Multiple of 2067 and 2071