What is the Greatest Common Factor of 82484 and 82496?

Greatest common factor (GCF) of 82484 and 82496 is 4.

GCF(82484,82496) = 4

We will now calculate the prime factors of 82484 and 82496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82484 and 82496.

How to find the GCF of 82484 and 82496?

We will first find the prime factorization of 82484 and 82496. After we will calculate the factors of 82484 and 82496 and find the biggest common factor number .

Step-1: Prime Factorization of 82484

Prime factors of 82484 are 2, 17, 1213. Prime factorization of 82484 in exponential form is:

82484 = 2² × 17¹ × 1213¹

Step-2: Prime Factorization of 82496

Prime factors of 82496 are 2, 1289. Prime factorization of 82496 in exponential form is:

82496 = 2⁶ × 1289¹

Step-3: Factors of 82484

List of positive integer factors of 82484 that divides 82484 without a remainder.

1, 2, 4, 17, 34, 68, 1213, 2426, 4852, 20621, 41242

Step-4: Factors of 82496

List of positive integer factors of 82496 that divides 82484 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1289, 2578, 5156, 10312, 20624, 41248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82484 and 82496. The biggest common factor number is the GCF number.
So the greatest common factor 82484 and 82496 is 4.

Also check out the Least Common Multiple of 82484 and 82496