What is the Greatest Common Factor of 20884 and 20902?

Greatest common factor (GCF) of 20884 and 20902 is 2.

GCF(20884,20902) = 2

We will now calculate the prime factors of 20884 and 20902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20884 and 20902.

How to find the GCF of 20884 and 20902?

We will first find the prime factorization of 20884 and 20902. After we will calculate the factors of 20884 and 20902 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20902

Prime factors of 20902 are 2, 7, 1493. Prime factorization of 20902 in exponential form is:

20902 = 2¹ × 7¹ × 1493¹

Step-3: Factors of 20884

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

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

Step-4: Factors of 20902

List of positive integer factors of 20902 that divides 20884 without a remainder.

1, 2, 7, 14, 1493, 2986, 10451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20884 and 20902. The biggest common factor number is the GCF number.
So the greatest common factor 20884 and 20902 is 2.

Also check out the Least Common Multiple of 20884 and 20902