What is the Greatest Common Factor of 82344 and 82356?

Greatest common factor (GCF) of 82344 and 82356 is 12.

GCF(82344,82356) = 12

We will now calculate the prime factors of 82344 and 82356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82344 and 82356.

How to find the GCF of 82344 and 82356?

We will first find the prime factorization of 82344 and 82356. After we will calculate the factors of 82344 and 82356 and find the biggest common factor number .

Step-1: Prime Factorization of 82344

Prime factors of 82344 are 2, 3, 47, 73. Prime factorization of 82344 in exponential form is:

82344 = 2³ × 3¹ × 47¹ × 73¹

Step-2: Prime Factorization of 82356

Prime factors of 82356 are 2, 3, 6863. Prime factorization of 82356 in exponential form is:

82356 = 2² × 3¹ × 6863¹

Step-3: Factors of 82344

List of positive integer factors of 82344 that divides 82344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 73, 94, 141, 146, 188, 219, 282, 292, 376, 438, 564, 584, 876, 1128, 1752, 3431, 6862, 10293, 13724, 20586, 27448, 41172

Step-4: Factors of 82356

List of positive integer factors of 82356 that divides 82344 without a remainder.

1, 2, 3, 4, 6, 12, 6863, 13726, 20589, 27452, 41178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82344 and 82356. The biggest common factor number is the GCF number.
So the greatest common factor 82344 and 82356 is 12.

Also check out the Least Common Multiple of 82344 and 82356