What is the Greatest Common Factor of 20814 and 20818?

Greatest common factor (GCF) of 20814 and 20818 is 2.

GCF(20814,20818) = 2

We will now calculate the prime factors of 20814 and 20818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20814 and 20818.

How to find the GCF of 20814 and 20818?

We will first find the prime factorization of 20814 and 20818. After we will calculate the factors of 20814 and 20818 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 20818

Prime factors of 20818 are 2, 7, 1487. Prime factorization of 20818 in exponential form is:

20818 = 2¹ × 7¹ × 1487¹

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 20818

List of positive integer factors of 20818 that divides 20814 without a remainder.

1, 2, 7, 14, 1487, 2974, 10409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20814 and 20818. The biggest common factor number is the GCF number.
So the greatest common factor 20814 and 20818 is 2.

Also check out the Least Common Multiple of 20814 and 20818