What is the Greatest Common Factor of 15088 and 15104?

Greatest common factor (GCF) of 15088 and 15104 is 16.

GCF(15088,15104) = 16

We will now calculate the prime factors of 15088 and 15104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15088 and 15104.

How to find the GCF of 15088 and 15104?

We will first find the prime factorization of 15088 and 15104. After we will calculate the factors of 15088 and 15104 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 15104

Prime factors of 15104 are 2, 59. Prime factorization of 15104 in exponential form is:

15104 = 2⁸ × 59¹

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 15104

List of positive integer factors of 15104 that divides 15088 without a remainder.

1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 256, 472, 944, 1888, 3776, 7552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15088 and 15104. The biggest common factor number is the GCF number.
So the greatest common factor 15088 and 15104 is 16.

Also check out the Least Common Multiple of 15088 and 15104