What is the Greatest Common Factor of 20872 and 20884?

Greatest common factor (GCF) of 20872 and 20884 is 4.

GCF(20872,20884) = 4

We will now calculate the prime factors of 20872 and 20884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20872 and 20884.

How to find the GCF of 20872 and 20884?

We will first find the prime factorization of 20872 and 20884. After we will calculate the factors of 20872 and 20884 and find the biggest common factor number .

Step-1: Prime Factorization of 20872

Prime factors of 20872 are 2, 2609. Prime factorization of 20872 in exponential form is:

20872 = 2³ × 2609¹

Step-2: Prime Factorization of 20884

Prime factors of 20884 are 2, 23, 227. Prime factorization of 20884 in exponential form is:

20884 = 2² × 23¹ × 227¹

Step-3: Factors of 20872

List of positive integer factors of 20872 that divides 20872 without a remainder.

1, 2, 4, 8, 2609, 5218, 10436

Step-4: Factors of 20884

List of positive integer factors of 20884 that divides 20872 without a remainder.

1, 2, 4, 23, 46, 92, 227, 454, 908, 5221, 10442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20872 and 20884. The biggest common factor number is the GCF number.
So the greatest common factor 20872 and 20884 is 4.

Also check out the Least Common Multiple of 20872 and 20884