What is the Greatest Common Factor of 12075 and 12088?

Greatest common factor (GCF) of 12075 and 12088 is 1.

GCF(12075,12088) = 1

We will now calculate the prime factors of 12075 and 12088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12075 and 12088.

How to find the GCF of 12075 and 12088?

We will first find the prime factorization of 12075 and 12088. After we will calculate the factors of 12075 and 12088 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 12088

Prime factors of 12088 are 2, 1511. Prime factorization of 12088 in exponential form is:

12088 = 2³ × 1511¹

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 12088

List of positive integer factors of 12088 that divides 12075 without a remainder.

1, 2, 4, 8, 1511, 3022, 6044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12075 and 12088. The biggest common factor number is the GCF number.
So the greatest common factor 12075 and 12088 is 1.

Also check out the Least Common Multiple of 12075 and 12088