What is the Greatest Common Factor of 20869 and 20884?

Greatest common factor (GCF) of 20869 and 20884 is 1.

GCF(20869,20884) = 1

We will now calculate the prime factors of 20869 and 20884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20869 and 20884.

How to find the GCF of 20869 and 20884?

We will first find the prime factorization of 20869 and 20884. After we will calculate the factors of 20869 and 20884 and find the biggest common factor number .

Step-1: Prime Factorization of 20869

Prime factors of 20869 are 41, 509. Prime factorization of 20869 in exponential form is:

20869 = 41¹ × 509¹

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 20869

List of positive integer factors of 20869 that divides 20869 without a remainder.

1, 41, 509

Step-4: Factors of 20884

List of positive integer factors of 20884 that divides 20869 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 20869 and 20884. The biggest common factor number is the GCF number.
So the greatest common factor 20869 and 20884 is 1.

Also check out the Least Common Multiple of 20869 and 20884