What is the Greatest Common Factor of 82842 and 82848?

Greatest common factor (GCF) of 82842 and 82848 is 6.

GCF(82842,82848) = 6

We will now calculate the prime factors of 82842 and 82848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82842 and 82848.

How to find the GCF of 82842 and 82848?

We will first find the prime factorization of 82842 and 82848. After we will calculate the factors of 82842 and 82848 and find the biggest common factor number .

Step-1: Prime Factorization of 82842

Prime factors of 82842 are 2, 3, 13807. Prime factorization of 82842 in exponential form is:

82842 = 2¹ × 3¹ × 13807¹

Step-2: Prime Factorization of 82848

Prime factors of 82848 are 2, 3, 863. Prime factorization of 82848 in exponential form is:

82848 = 2⁵ × 3¹ × 863¹

Step-3: Factors of 82842

List of positive integer factors of 82842 that divides 82842 without a remainder.

1, 2, 3, 6, 13807, 27614, 41421

Step-4: Factors of 82848

List of positive integer factors of 82848 that divides 82842 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 863, 1726, 2589, 3452, 5178, 6904, 10356, 13808, 20712, 27616, 41424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82842 and 82848. The biggest common factor number is the GCF number.
So the greatest common factor 82842 and 82848 is 6.

Also check out the Least Common Multiple of 82842 and 82848