What is the Greatest Common Factor of 10816 and 10827?

Greatest common factor (GCF) of 10816 and 10827 is 1.

GCF(10816,10827) = 1

We will now calculate the prime factors of 10816 and 10827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10816 and 10827.

How to find the GCF of 10816 and 10827?

We will first find the prime factorization of 10816 and 10827. After we will calculate the factors of 10816 and 10827 and find the biggest common factor number .

Step-1: Prime Factorization of 10816

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

10816 = 2⁶ × 13²

Step-2: Prime Factorization of 10827

Prime factors of 10827 are 3, 401. Prime factorization of 10827 in exponential form is:

10827 = 3³ × 401¹

Step-3: Factors of 10816

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

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

Step-4: Factors of 10827

List of positive integer factors of 10827 that divides 10816 without a remainder.

1, 3, 9, 27, 401, 1203, 3609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10816 and 10827. The biggest common factor number is the GCF number.
So the greatest common factor 10816 and 10827 is 1.

Also check out the Least Common Multiple of 10816 and 10827