What is the Greatest Common Factor of 68848 and 68861?

Greatest common factor (GCF) of 68848 and 68861 is 13.

GCF(68848,68861) = 13

We will now calculate the prime factors of 68848 and 68861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68848 and 68861.

How to find the GCF of 68848 and 68861?

We will first find the prime factorization of 68848 and 68861. After we will calculate the factors of 68848 and 68861 and find the biggest common factor number .

Step-1: Prime Factorization of 68848

Prime factors of 68848 are 2, 13, 331. Prime factorization of 68848 in exponential form is:

68848 = 2⁴ × 13¹ × 331¹

Step-2: Prime Factorization of 68861

Prime factors of 68861 are 13, 5297. Prime factorization of 68861 in exponential form is:

68861 = 13¹ × 5297¹

Step-3: Factors of 68848

List of positive integer factors of 68848 that divides 68848 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 331, 662, 1324, 2648, 4303, 5296, 8606, 17212, 34424

Step-4: Factors of 68861

List of positive integer factors of 68861 that divides 68848 without a remainder.

1, 13, 5297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68848 and 68861. The biggest common factor number is the GCF number.
So the greatest common factor 68848 and 68861 is 13.

Also check out the Least Common Multiple of 68848 and 68861