What is the Greatest Common Factor of 10802 and 10813?

Greatest common factor (GCF) of 10802 and 10813 is 11.

GCF(10802,10813) = 11

We will now calculate the prime factors of 10802 and 10813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10802 and 10813.

How to find the GCF of 10802 and 10813?

We will first find the prime factorization of 10802 and 10813. After we will calculate the factors of 10802 and 10813 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 10813

Prime factors of 10813 are 11, 983. Prime factorization of 10813 in exponential form is:

10813 = 11¹ × 983¹

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 10813

List of positive integer factors of 10813 that divides 10802 without a remainder.

1, 11, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10802 and 10813. The biggest common factor number is the GCF number.
So the greatest common factor 10802 and 10813 is 11.

Also check out the Least Common Multiple of 10802 and 10813