What is the Greatest Common Factor of 17876 and 17888?

Greatest common factor (GCF) of 17876 and 17888 is 4.

GCF(17876,17888) = 4

We will now calculate the prime factors of 17876 and 17888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17876 and 17888.

How to find the GCF of 17876 and 17888?

We will first find the prime factorization of 17876 and 17888. After we will calculate the factors of 17876 and 17888 and find the biggest common factor number .

Step-1: Prime Factorization of 17876

Prime factors of 17876 are 2, 41, 109. Prime factorization of 17876 in exponential form is:

17876 = 2² × 41¹ × 109¹

Step-2: 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-3: Factors of 17876

List of positive integer factors of 17876 that divides 17876 without a remainder.

1, 2, 4, 41, 82, 109, 164, 218, 436, 4469, 8938

Step-4: Factors of 17888

List of positive integer factors of 17888 that divides 17876 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17876 and 17888. The biggest common factor number is the GCF number.
So the greatest common factor 17876 and 17888 is 4.

Also check out the Least Common Multiple of 17876 and 17888