What is the Greatest Common Factor of 2071 and 2080?

Greatest common factor (GCF) of 2071 and 2080 is 1.

GCF(2071,2080) = 1

We will now calculate the prime factors of 2071 and 2080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2071 and 2080.

How to find the GCF of 2071 and 2080?

We will first find the prime factorization of 2071 and 2080. After we will calculate the factors of 2071 and 2080 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 2080

Prime factors of 2080 are 2, 5, 13. Prime factorization of 2080 in exponential form is:

2080 = 2⁵ × 5¹ × 13¹

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 2080

List of positive integer factors of 2080 that divides 2071 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2071 and 2080. The biggest common factor number is the GCF number.
So the greatest common factor 2071 and 2080 is 1.

Also check out the Least Common Multiple of 2071 and 2080