What is the Greatest Common Factor of 15088 and 15095?

Greatest common factor (GCF) of 15088 and 15095 is 1.

GCF(15088,15095) = 1

We will now calculate the prime factors of 15088 and 15095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15088 and 15095.

How to find the GCF of 15088 and 15095?

We will first find the prime factorization of 15088 and 15095. After we will calculate the factors of 15088 and 15095 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15095

Prime factors of 15095 are 5, 3019. Prime factorization of 15095 in exponential form is:

15095 = 5¹ × 3019¹

Step-3: Factors of 15088

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

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

Step-4: Factors of 15095

List of positive integer factors of 15095 that divides 15088 without a remainder.

1, 5, 3019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15088 and 15095. The biggest common factor number is the GCF number.
So the greatest common factor 15088 and 15095 is 1.

Also check out the Least Common Multiple of 15088 and 15095