What is the Greatest Common Factor of 20806 and 20814?

Greatest common factor (GCF) of 20806 and 20814 is 2.

GCF(20806,20814) = 2

We will now calculate the prime factors of 20806 and 20814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20806 and 20814.

How to find the GCF of 20806 and 20814?

We will first find the prime factorization of 20806 and 20814. After we will calculate the factors of 20806 and 20814 and find the biggest common factor number .

Step-1: Prime Factorization of 20806

Prime factors of 20806 are 2, 101, 103. Prime factorization of 20806 in exponential form is:

20806 = 2¹ × 101¹ × 103¹

Step-2: 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-3: Factors of 20806

List of positive integer factors of 20806 that divides 20806 without a remainder.

1, 2, 101, 103, 202, 206, 10403

Step-4: Factors of 20814

List of positive integer factors of 20814 that divides 20806 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20806 and 20814. The biggest common factor number is the GCF number.
So the greatest common factor 20806 and 20814 is 2.

Also check out the Least Common Multiple of 20806 and 20814