What is the Greatest Common Factor of 82383 and 82392?

Greatest common factor (GCF) of 82383 and 82392 is 3.

GCF(82383,82392) = 3

We will now calculate the prime factors of 82383 and 82392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82383 and 82392.

How to find the GCF of 82383 and 82392?

We will first find the prime factorization of 82383 and 82392. After we will calculate the factors of 82383 and 82392 and find the biggest common factor number .

Step-1: Prime Factorization of 82383

Prime factors of 82383 are 3, 7, 3923. Prime factorization of 82383 in exponential form is:

82383 = 3¹ × 7¹ × 3923¹

Step-2: Prime Factorization of 82392

Prime factors of 82392 are 2, 3, 3433. Prime factorization of 82392 in exponential form is:

82392 = 2³ × 3¹ × 3433¹

Step-3: Factors of 82383

List of positive integer factors of 82383 that divides 82383 without a remainder.

1, 3, 7, 21, 3923, 11769, 27461

Step-4: Factors of 82392

List of positive integer factors of 82392 that divides 82383 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3433, 6866, 10299, 13732, 20598, 27464, 41196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82383 and 82392. The biggest common factor number is the GCF number.
So the greatest common factor 82383 and 82392 is 3.

Also check out the Least Common Multiple of 82383 and 82392