What is the Greatest Common Factor of 82844 and 82848?

Greatest common factor (GCF) of 82844 and 82848 is 4.

GCF(82844,82848) = 4

We will now calculate the prime factors of 82844 and 82848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82844 and 82848.

How to find the GCF of 82844 and 82848?

We will first find the prime factorization of 82844 and 82848. After we will calculate the factors of 82844 and 82848 and find the biggest common factor number .

Step-1: Prime Factorization of 82844

Prime factors of 82844 are 2, 139, 149. Prime factorization of 82844 in exponential form is:

82844 = 2² × 139¹ × 149¹

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 82844

List of positive integer factors of 82844 that divides 82844 without a remainder.

1, 2, 4, 139, 149, 278, 298, 556, 596, 20711, 41422

Step-4: Factors of 82848

List of positive integer factors of 82848 that divides 82844 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 82844 and 82848. The biggest common factor number is the GCF number.
So the greatest common factor 82844 and 82848 is 4.

Also check out the Least Common Multiple of 82844 and 82848