What is the Greatest Common Factor of 17888 and 17904?

Greatest common factor (GCF) of 17888 and 17904 is 16.

GCF(17888,17904) = 16

We will now calculate the prime factors of 17888 and 17904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17888 and 17904.

How to find the GCF of 17888 and 17904?

We will first find the prime factorization of 17888 and 17904. After we will calculate the factors of 17888 and 17904 and find the biggest common factor number .

Step-1: Prime Factorization of 17888

Prime factors of 17888 are 2, 13, 43. Prime factorization of 17888 in exponential form is:

17888 = 2⁵ × 13¹ × 43¹

Step-2: Prime Factorization of 17904

Prime factors of 17904 are 2, 3, 373. Prime factorization of 17904 in exponential form is:

17904 = 2⁴ × 3¹ × 373¹

Step-3: Factors of 17888

List of positive integer factors of 17888 that divides 17888 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 43, 52, 86, 104, 172, 208, 344, 416, 559, 688, 1118, 1376, 2236, 4472, 8944

Step-4: Factors of 17904

List of positive integer factors of 17904 that divides 17888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17888 and 17904. The biggest common factor number is the GCF number.
So the greatest common factor 17888 and 17904 is 16.

Also check out the Least Common Multiple of 17888 and 17904