What is the Greatest Common Factor of 10806 and 10821?

Greatest common factor (GCF) of 10806 and 10821 is 3.

GCF(10806,10821) = 3

We will now calculate the prime factors of 10806 and 10821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10806 and 10821.

How to find the GCF of 10806 and 10821?

We will first find the prime factorization of 10806 and 10821. After we will calculate the factors of 10806 and 10821 and find the biggest common factor number .

Step-1: Prime Factorization of 10806

Prime factors of 10806 are 2, 3, 1801. Prime factorization of 10806 in exponential form is:

10806 = 2¹ × 3¹ × 1801¹

Step-2: Prime Factorization of 10821

Prime factors of 10821 are 3, 3607. Prime factorization of 10821 in exponential form is:

10821 = 3¹ × 3607¹

Step-3: Factors of 10806

List of positive integer factors of 10806 that divides 10806 without a remainder.

1, 2, 3, 6, 1801, 3602, 5403

Step-4: Factors of 10821

List of positive integer factors of 10821 that divides 10806 without a remainder.

1, 3, 3607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10806 and 10821. The biggest common factor number is the GCF number.
So the greatest common factor 10806 and 10821 is 3.

Also check out the Least Common Multiple of 10806 and 10821