What is the Greatest Common Factor of 15075 and 15088?

Greatest common factor (GCF) of 15075 and 15088 is 1.

GCF(15075,15088) = 1

We will now calculate the prime factors of 15075 and 15088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15075 and 15088.

How to find the GCF of 15075 and 15088?

We will first find the prime factorization of 15075 and 15088. After we will calculate the factors of 15075 and 15088 and find the biggest common factor number .

Step-1: Prime Factorization of 15075

Prime factors of 15075 are 3, 5, 67. Prime factorization of 15075 in exponential form is:

15075 = 3² × 5² × 67¹

Step-2: Prime Factorization of 15088

Prime factors of 15088 are 2, 23, 41. Prime factorization of 15088 in exponential form is:

15088 = 2⁴ × 23¹ × 41¹

Step-3: Factors of 15075

List of positive integer factors of 15075 that divides 15075 without a remainder.

1, 3, 5, 9, 15, 25, 45, 67, 75, 201, 225, 335, 603, 1005, 1675, 3015, 5025

Step-4: Factors of 15088

List of positive integer factors of 15088 that divides 15075 without a remainder.

1, 2, 4, 8, 16, 23, 41, 46, 82, 92, 164, 184, 328, 368, 656, 943, 1886, 3772, 7544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15075 and 15088. The biggest common factor number is the GCF number.
So the greatest common factor 15075 and 15088 is 1.

Also check out the Least Common Multiple of 15075 and 15088