What is the Greatest Common Factor of 17884 and 17888?

Greatest common factor (GCF) of 17884 and 17888 is 4.

GCF(17884,17888) = 4

We will now calculate the prime factors of 17884 and 17888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17884 and 17888.

How to find the GCF of 17884 and 17888?

We will first find the prime factorization of 17884 and 17888. After we will calculate the factors of 17884 and 17888 and find the biggest common factor number .

Step-1: Prime Factorization of 17884

Prime factors of 17884 are 2, 17, 263. Prime factorization of 17884 in exponential form is:

17884 = 2² × 17¹ × 263¹

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 17884

List of positive integer factors of 17884 that divides 17884 without a remainder.

1, 2, 4, 17, 34, 68, 263, 526, 1052, 4471, 8942

Step-4: Factors of 17888

List of positive integer factors of 17888 that divides 17884 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 17884 and 17888. The biggest common factor number is the GCF number.
So the greatest common factor 17884 and 17888 is 4.

Also check out the Least Common Multiple of 17884 and 17888