What is the Greatest Common Factor of 10842 and 10855?

Greatest common factor (GCF) of 10842 and 10855 is 13.

GCF(10842,10855) = 13

We will now calculate the prime factors of 10842 and 10855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10842 and 10855.

How to find the GCF of 10842 and 10855?

We will first find the prime factorization of 10842 and 10855. After we will calculate the factors of 10842 and 10855 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 10855

Prime factors of 10855 are 5, 13, 167. Prime factorization of 10855 in exponential form is:

10855 = 5¹ × 13¹ × 167¹

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 10855

List of positive integer factors of 10855 that divides 10842 without a remainder.

1, 5, 13, 65, 167, 835, 2171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10842 and 10855. The biggest common factor number is the GCF number.
So the greatest common factor 10842 and 10855 is 13.

Also check out the Least Common Multiple of 10842 and 10855