What is the Greatest Common Factor of 81848 and 81861?

Greatest common factor (GCF) of 81848 and 81861 is 13.

GCF(81848,81861) = 13

We will now calculate the prime factors of 81848 and 81861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81848 and 81861.

How to find the GCF of 81848 and 81861?

We will first find the prime factorization of 81848 and 81861. After we will calculate the factors of 81848 and 81861 and find the biggest common factor number .

Step-1: Prime Factorization of 81848

Prime factors of 81848 are 2, 13, 787. Prime factorization of 81848 in exponential form is:

81848 = 2³ × 13¹ × 787¹

Step-2: Prime Factorization of 81861

Prime factors of 81861 are 3, 13, 2099. Prime factorization of 81861 in exponential form is:

81861 = 3¹ × 13¹ × 2099¹

Step-3: Factors of 81848

List of positive integer factors of 81848 that divides 81848 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 787, 1574, 3148, 6296, 10231, 20462, 40924

Step-4: Factors of 81861

List of positive integer factors of 81861 that divides 81848 without a remainder.

1, 3, 13, 39, 2099, 6297, 27287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81848 and 81861. The biggest common factor number is the GCF number.
So the greatest common factor 81848 and 81861 is 13.

Also check out the Least Common Multiple of 81848 and 81861