What is the Greatest Common Factor of 2067 and 2080?

Greatest common factor (GCF) of 2067 and 2080 is 13.

GCF(2067,2080) = 13

We will now calculate the prime factors of 2067 and 2080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2067 and 2080.

How to find the GCF of 2067 and 2080?

We will first find the prime factorization of 2067 and 2080. After we will calculate the factors of 2067 and 2080 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 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 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 2080

List of positive integer factors of 2080 that divides 2067 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 2067 and 2080. The biggest common factor number is the GCF number.
So the greatest common factor 2067 and 2080 is 13.

Also check out the Least Common Multiple of 2067 and 2080