What is the Greatest Common Factor of 15888 and 15904?

Greatest common factor (GCF) of 15888 and 15904 is 16.

GCF(15888,15904) = 16

We will now calculate the prime factors of 15888 and 15904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15888 and 15904.

How to find the GCF of 15888 and 15904?

We will first find the prime factorization of 15888 and 15904. After we will calculate the factors of 15888 and 15904 and find the biggest common factor number .

Step-1: Prime Factorization of 15888

Prime factors of 15888 are 2, 3, 331. Prime factorization of 15888 in exponential form is:

15888 = 2⁴ × 3¹ × 331¹

Step-2: Prime Factorization of 15904

Prime factors of 15904 are 2, 7, 71. Prime factorization of 15904 in exponential form is:

15904 = 2⁵ × 7¹ × 71¹

Step-3: Factors of 15888

List of positive integer factors of 15888 that divides 15888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 331, 662, 993, 1324, 1986, 2648, 3972, 5296, 7944

Step-4: Factors of 15904

List of positive integer factors of 15904 that divides 15888 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 71, 112, 142, 224, 284, 497, 568, 994, 1136, 1988, 2272, 3976, 7952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15888 and 15904. The biggest common factor number is the GCF number.
So the greatest common factor 15888 and 15904 is 16.

Also check out the Least Common Multiple of 15888 and 15904