What is the Greatest Common Factor of 10842 and 10851?

Greatest common factor (GCF) of 10842 and 10851 is 3.

GCF(10842,10851) = 3

We will now calculate the prime factors of 10842 and 10851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10842 and 10851.

How to find the GCF of 10842 and 10851?

We will first find the prime factorization of 10842 and 10851. After we will calculate the factors of 10842 and 10851 and find the biggest common factor number .

Step-1: Prime Factorization of 10842

Prime factors of 10842 are 2, 3, 13, 139. Prime factorization of 10842 in exponential form is:

10842 = 2¹ × 3¹ × 13¹ × 139¹

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 10842

List of positive integer factors of 10842 that divides 10842 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 139, 278, 417, 834, 1807, 3614, 5421

Step-4: Factors of 10851

List of positive integer factors of 10851 that divides 10842 without a remainder.

1, 3, 3617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10842 and 10851. The biggest common factor number is the GCF number.
So the greatest common factor 10842 and 10851 is 3.

Also check out the Least Common Multiple of 10842 and 10851