What is the Greatest Common Factor of 17884 and 17900?

Greatest common factor (GCF) of 17884 and 17900 is 4.

GCF(17884,17900) = 4

We will now calculate the prime factors of 17884 and 17900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17884 and 17900.

How to find the GCF of 17884 and 17900?

We will first find the prime factorization of 17884 and 17900. After we will calculate the factors of 17884 and 17900 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 17900

Prime factors of 17900 are 2, 5, 179. Prime factorization of 17900 in exponential form is:

17900 = 2² × 5² × 179¹

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 17900

List of positive integer factors of 17900 that divides 17884 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 179, 358, 716, 895, 1790, 3580, 4475, 8950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17884 and 17900. The biggest common factor number is the GCF number.
So the greatest common factor 17884 and 17900 is 4.

Also check out the Least Common Multiple of 17884 and 17900