What is the Greatest Common Factor of 12075 and 12080?

Greatest common factor (GCF) of 12075 and 12080 is 5.

GCF(12075,12080) = 5

We will now calculate the prime factors of 12075 and 12080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12075 and 12080.

How to find the GCF of 12075 and 12080?

We will first find the prime factorization of 12075 and 12080. After we will calculate the factors of 12075 and 12080 and find the biggest common factor number .

Step-1: Prime Factorization of 12075

Prime factors of 12075 are 3, 5, 7, 23. Prime factorization of 12075 in exponential form is:

12075 = 3¹ × 5² × 7¹ × 23¹

Step-2: 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-3: Factors of 12075

List of positive integer factors of 12075 that divides 12075 without a remainder.

1, 3, 5, 7, 15, 21, 23, 25, 35, 69, 75, 105, 115, 161, 175, 345, 483, 525, 575, 805, 1725, 2415, 4025

Step-4: Factors of 12080

List of positive integer factors of 12080 that divides 12075 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12075 and 12080. The biggest common factor number is the GCF number.
So the greatest common factor 12075 and 12080 is 5.

Also check out the Least Common Multiple of 12075 and 12080