What is the Greatest Common Factor of 82383 and 82389?

Greatest common factor (GCF) of 82383 and 82389 is 3.

GCF(82383,82389) = 3

We will now calculate the prime factors of 82383 and 82389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82383 and 82389.

How to find the GCF of 82383 and 82389?

We will first find the prime factorization of 82383 and 82389. After we will calculate the factors of 82383 and 82389 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 82389

Prime factors of 82389 are 3, 29, 947. Prime factorization of 82389 in exponential form is:

82389 = 3¹ × 29¹ × 947¹

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 82389

List of positive integer factors of 82389 that divides 82383 without a remainder.

1, 3, 29, 87, 947, 2841, 27463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82383 and 82389. The biggest common factor number is the GCF number.
So the greatest common factor 82383 and 82389 is 3.

Also check out the Least Common Multiple of 82383 and 82389