What is the Greatest Common Factor of 10802 and 10816?

Greatest common factor (GCF) of 10802 and 10816 is 2.

GCF(10802,10816) = 2

We will now calculate the prime factors of 10802 and 10816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10802 and 10816.

How to find the GCF of 10802 and 10816?

We will first find the prime factorization of 10802 and 10816. After we will calculate the factors of 10802 and 10816 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 10816

Prime factors of 10816 are 2, 13. Prime factorization of 10816 in exponential form is:

10816 = 2⁶ × 13²

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 10816

List of positive integer factors of 10816 that divides 10802 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 169, 208, 338, 416, 676, 832, 1352, 2704, 5408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10802 and 10816. The biggest common factor number is the GCF number.
So the greatest common factor 10802 and 10816 is 2.

Also check out the Least Common Multiple of 10802 and 10816