What is the Greatest Common Factor of 82608 and 82623?

Greatest common factor (GCF) of 82608 and 82623 is 3.

GCF(82608,82623) = 3

We will now calculate the prime factors of 82608 and 82623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82608 and 82623.

How to find the GCF of 82608 and 82623?

We will first find the prime factorization of 82608 and 82623. After we will calculate the factors of 82608 and 82623 and find the biggest common factor number .

Step-1: Prime Factorization of 82608

Prime factors of 82608 are 2, 3, 1721. Prime factorization of 82608 in exponential form is:

82608 = 2⁴ × 3¹ × 1721¹

Step-2: Prime Factorization of 82623

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

82623 = 3¹ × 27541¹

Step-3: Factors of 82608

List of positive integer factors of 82608 that divides 82608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1721, 3442, 5163, 6884, 10326, 13768, 20652, 27536, 41304

Step-4: Factors of 82623

List of positive integer factors of 82623 that divides 82608 without a remainder.

1, 3, 27541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82608 and 82623. The biggest common factor number is the GCF number.
So the greatest common factor 82608 and 82623 is 3.

Also check out the Least Common Multiple of 82608 and 82623