What is the Greatest Common Factor of 17888 and 17901?

Greatest common factor (GCF) of 17888 and 17901 is 13.

GCF(17888,17901) = 13

We will now calculate the prime factors of 17888 and 17901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17888 and 17901.

How to find the GCF of 17888 and 17901?

We will first find the prime factorization of 17888 and 17901. After we will calculate the factors of 17888 and 17901 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 17901

Prime factors of 17901 are 3, 13, 17. Prime factorization of 17901 in exponential form is:

17901 = 3⁴ × 13¹ × 17¹

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 17901

List of positive integer factors of 17901 that divides 17888 without a remainder.

1, 3, 9, 13, 17, 27, 39, 51, 81, 117, 153, 221, 351, 459, 663, 1053, 1377, 1989, 5967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17888 and 17901. The biggest common factor number is the GCF number.
So the greatest common factor 17888 and 17901 is 13.

Also check out the Least Common Multiple of 17888 and 17901