What is the Greatest Common Factor of 20814 and 20827?

Greatest common factor (GCF) of 20814 and 20827 is 1.

GCF(20814,20827) = 1

We will now calculate the prime factors of 20814 and 20827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20814 and 20827.

How to find the GCF of 20814 and 20827?

We will first find the prime factorization of 20814 and 20827. After we will calculate the factors of 20814 and 20827 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 20827

Prime factors of 20827 are 59, 353. Prime factorization of 20827 in exponential form is:

20827 = 59¹ × 353¹

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 20827

List of positive integer factors of 20827 that divides 20814 without a remainder.

1, 59, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20814 and 20827. The biggest common factor number is the GCF number.
So the greatest common factor 20814 and 20827 is 1.

Also check out the Least Common Multiple of 20814 and 20827