What is the Greatest Common Factor of 82398 and 82408?

Greatest common factor (GCF) of 82398 and 82408 is 2.

GCF(82398,82408) = 2

We will now calculate the prime factors of 82398 and 82408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82398 and 82408.

How to find the GCF of 82398 and 82408?

We will first find the prime factorization of 82398 and 82408. After we will calculate the factors of 82398 and 82408 and find the biggest common factor number .

Step-1: Prime Factorization of 82398

Prime factors of 82398 are 2, 3, 31, 443. Prime factorization of 82398 in exponential form is:

82398 = 2¹ × 3¹ × 31¹ × 443¹

Step-2: Prime Factorization of 82408

Prime factors of 82408 are 2, 10301. Prime factorization of 82408 in exponential form is:

82408 = 2³ × 10301¹

Step-3: Factors of 82398

List of positive integer factors of 82398 that divides 82398 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 443, 886, 1329, 2658, 13733, 27466, 41199

Step-4: Factors of 82408

List of positive integer factors of 82408 that divides 82398 without a remainder.

1, 2, 4, 8, 10301, 20602, 41204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82398 and 82408. The biggest common factor number is the GCF number.
So the greatest common factor 82398 and 82408 is 2.

Also check out the Least Common Multiple of 82398 and 82408