What is the Greatest Common Factor of 10815 and 10827?

Greatest common factor (GCF) of 10815 and 10827 is 3.

GCF(10815,10827) = 3

We will now calculate the prime factors of 10815 and 10827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10815 and 10827.

How to find the GCF of 10815 and 10827?

We will first find the prime factorization of 10815 and 10827. After we will calculate the factors of 10815 and 10827 and find the biggest common factor number .

Step-1: Prime Factorization of 10815

Prime factors of 10815 are 3, 5, 7, 103. Prime factorization of 10815 in exponential form is:

10815 = 3¹ × 5¹ × 7¹ × 103¹

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 10815

List of positive integer factors of 10815 that divides 10815 without a remainder.

1, 3, 5, 7, 15, 21, 35, 103, 105, 309, 515, 721, 1545, 2163, 3605

Step-4: Factors of 10827

List of positive integer factors of 10827 that divides 10815 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10815 and 10827. The biggest common factor number is the GCF number.
So the greatest common factor 10815 and 10827 is 3.

Also check out the Least Common Multiple of 10815 and 10827