What is the Greatest Common Factor of 82836 and 82848?

Greatest common factor (GCF) of 82836 and 82848 is 12.

GCF(82836,82848) = 12

We will now calculate the prime factors of 82836 and 82848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82836 and 82848.

How to find the GCF of 82836 and 82848?

We will first find the prime factorization of 82836 and 82848. After we will calculate the factors of 82836 and 82848 and find the biggest common factor number .

Step-1: Prime Factorization of 82836

Prime factors of 82836 are 2, 3, 13, 59. Prime factorization of 82836 in exponential form is:

82836 = 2² × 3³ × 13¹ × 59¹

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 82836

List of positive integer factors of 82836 that divides 82836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 59, 78, 108, 117, 118, 156, 177, 234, 236, 351, 354, 468, 531, 702, 708, 767, 1062, 1404, 1534, 1593, 2124, 2301, 3068, 3186, 4602, 6372, 6903, 9204, 13806, 20709, 27612, 41418

Step-4: Factors of 82848

List of positive integer factors of 82848 that divides 82836 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 82836 and 82848. The biggest common factor number is the GCF number.
So the greatest common factor 82836 and 82848 is 12.

Also check out the Least Common Multiple of 82836 and 82848