What is the Greatest Common Factor of 20814 and 20828?

Greatest common factor (GCF) of 20814 and 20828 is 2.

GCF(20814,20828) = 2

We will now calculate the prime factors of 20814 and 20828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20814 and 20828.

How to find the GCF of 20814 and 20828?

We will first find the prime factorization of 20814 and 20828. After we will calculate the factors of 20814 and 20828 and find the biggest common factor number .

Step-1: Prime Factorization of 20814

Prime factors of 20814 are 2, 3, 3469. Prime factorization of 20814 in exponential form is:

20814 = 2¹ × 3¹ × 3469¹

Step-2: Prime Factorization of 20828

Prime factors of 20828 are 2, 41, 127. Prime factorization of 20828 in exponential form is:

20828 = 2² × 41¹ × 127¹

Step-3: Factors of 20814

List of positive integer factors of 20814 that divides 20814 without a remainder.

1, 2, 3, 6, 3469, 6938, 10407

Step-4: Factors of 20828

List of positive integer factors of 20828 that divides 20814 without a remainder.

1, 2, 4, 41, 82, 127, 164, 254, 508, 5207, 10414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20814 and 20828. The biggest common factor number is the GCF number.
So the greatest common factor 20814 and 20828 is 2.

Also check out the Least Common Multiple of 20814 and 20828