What is the Greatest Common Factor of 82623 and 82638?

Greatest common factor (GCF) of 82623 and 82638 is 3.

GCF(82623,82638) = 3

We will now calculate the prime factors of 82623 and 82638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82623 and 82638.

How to find the GCF of 82623 and 82638?

We will first find the prime factorization of 82623 and 82638. After we will calculate the factors of 82623 and 82638 and find the biggest common factor number .

Step-1: Prime Factorization of 82623

Prime factors of 82623 are 3, 27541. Prime factorization of 82623 in exponential form is:

82623 = 3¹ × 27541¹

Step-2: Prime Factorization of 82638

Prime factors of 82638 are 2, 3, 4591. Prime factorization of 82638 in exponential form is:

82638 = 2¹ × 3² × 4591¹

Step-3: Factors of 82623

List of positive integer factors of 82623 that divides 82623 without a remainder.

1, 3, 27541

Step-4: Factors of 82638

List of positive integer factors of 82638 that divides 82623 without a remainder.

1, 2, 3, 6, 9, 18, 4591, 9182, 13773, 27546, 41319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82623 and 82638. The biggest common factor number is the GCF number.
So the greatest common factor 82623 and 82638 is 3.

Also check out the Least Common Multiple of 82623 and 82638