What is the Greatest Common Factor of 17824 and 17828?

Greatest common factor (GCF) of 17824 and 17828 is 4.

GCF(17824,17828) = 4

We will now calculate the prime factors of 17824 and 17828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17824 and 17828.

How to find the GCF of 17824 and 17828?

We will first find the prime factorization of 17824 and 17828. After we will calculate the factors of 17824 and 17828 and find the biggest common factor number .

Step-1: Prime Factorization of 17824

Prime factors of 17824 are 2, 557. Prime factorization of 17824 in exponential form is:

17824 = 2⁵ × 557¹

Step-2: Prime Factorization of 17828

Prime factors of 17828 are 2, 4457. Prime factorization of 17828 in exponential form is:

17828 = 2² × 4457¹

Step-3: Factors of 17824

List of positive integer factors of 17824 that divides 17824 without a remainder.

1, 2, 4, 8, 16, 32, 557, 1114, 2228, 4456, 8912

Step-4: Factors of 17828

List of positive integer factors of 17828 that divides 17824 without a remainder.

1, 2, 4, 4457, 8914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17824 and 17828. The biggest common factor number is the GCF number.
So the greatest common factor 17824 and 17828 is 4.

Also check out the Least Common Multiple of 17824 and 17828