What is the Greatest Common Factor of 10802 and 10806?

Greatest common factor (GCF) of 10802 and 10806 is 2.

GCF(10802,10806) = 2

We will now calculate the prime factors of 10802 and 10806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10802 and 10806.

How to find the GCF of 10802 and 10806?

We will first find the prime factorization of 10802 and 10806. After we will calculate the factors of 10802 and 10806 and find the biggest common factor number .

Step-1: Prime Factorization of 10802

Prime factors of 10802 are 2, 11, 491. Prime factorization of 10802 in exponential form is:

10802 = 2¹ × 11¹ × 491¹

Step-2: 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-3: Factors of 10802

List of positive integer factors of 10802 that divides 10802 without a remainder.

1, 2, 11, 22, 491, 982, 5401

Step-4: Factors of 10806

List of positive integer factors of 10806 that divides 10802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10802 and 10806. The biggest common factor number is the GCF number.
So the greatest common factor 10802 and 10806 is 2.

Also check out the Least Common Multiple of 10802 and 10806