What is the Greatest Common Factor of 10833 and 10851?

Greatest common factor (GCF) of 10833 and 10851 is 3.

GCF(10833,10851) = 3

We will now calculate the prime factors of 10833 and 10851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10833 and 10851.

How to find the GCF of 10833 and 10851?

We will first find the prime factorization of 10833 and 10851. After we will calculate the factors of 10833 and 10851 and find the biggest common factor number .

Step-1: Prime Factorization of 10833

Prime factors of 10833 are 3, 23, 157. Prime factorization of 10833 in exponential form is:

10833 = 3¹ × 23¹ × 157¹

Step-2: Prime Factorization of 10851

Prime factors of 10851 are 3, 3617. Prime factorization of 10851 in exponential form is:

10851 = 3¹ × 3617¹

Step-3: Factors of 10833

List of positive integer factors of 10833 that divides 10833 without a remainder.

1, 3, 23, 69, 157, 471, 3611

Step-4: Factors of 10851

List of positive integer factors of 10851 that divides 10833 without a remainder.

1, 3, 3617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10833 and 10851. The biggest common factor number is the GCF number.
So the greatest common factor 10833 and 10851 is 3.

Also check out the Least Common Multiple of 10833 and 10851