What is the Greatest Common Factor of 12080 and 12086?

Greatest common factor (GCF) of 12080 and 12086 is 2.

GCF(12080,12086) = 2

We will now calculate the prime factors of 12080 and 12086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12080 and 12086.

How to find the GCF of 12080 and 12086?

We will first find the prime factorization of 12080 and 12086. After we will calculate the factors of 12080 and 12086 and find the biggest common factor number .

Step-1: Prime Factorization of 12080

Prime factors of 12080 are 2, 5, 151. Prime factorization of 12080 in exponential form is:

12080 = 2⁴ × 5¹ × 151¹

Step-2: Prime Factorization of 12086

Prime factors of 12086 are 2, 6043. Prime factorization of 12086 in exponential form is:

12086 = 2¹ × 6043¹

Step-3: Factors of 12080

List of positive integer factors of 12080 that divides 12080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 151, 302, 604, 755, 1208, 1510, 2416, 3020, 6040

Step-4: Factors of 12086

List of positive integer factors of 12086 that divides 12080 without a remainder.

1, 2, 6043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12080 and 12086. The biggest common factor number is the GCF number.
So the greatest common factor 12080 and 12086 is 2.

Also check out the Least Common Multiple of 12080 and 12086