What is the Greatest Common Factor of 12075 and 12083?

Greatest common factor (GCF) of 12075 and 12083 is 1.

GCF(12075,12083) = 1

We will now calculate the prime factors of 12075 and 12083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12075 and 12083.

How to find the GCF of 12075 and 12083?

We will first find the prime factorization of 12075 and 12083. After we will calculate the factors of 12075 and 12083 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 12083

Prime factors of 12083 are 43, 281. Prime factorization of 12083 in exponential form is:

12083 = 43¹ × 281¹

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 12083

List of positive integer factors of 12083 that divides 12075 without a remainder.

1, 43, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12075 and 12083. The biggest common factor number is the GCF number.
So the greatest common factor 12075 and 12083 is 1.

Also check out the Least Common Multiple of 12075 and 12083