What is the Greatest Common Factor of 82431 and 82440?

Greatest common factor (GCF) of 82431 and 82440 is 9.

GCF(82431,82440) = 9

We will now calculate the prime factors of 82431 and 82440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82431 and 82440.

How to find the GCF of 82431 and 82440?

We will first find the prime factorization of 82431 and 82440. After we will calculate the factors of 82431 and 82440 and find the biggest common factor number .

Step-1: Prime Factorization of 82431

Prime factors of 82431 are 3, 43, 71. Prime factorization of 82431 in exponential form is:

82431 = 3³ × 43¹ × 71¹

Step-2: Prime Factorization of 82440

Prime factors of 82440 are 2, 3, 5, 229. Prime factorization of 82440 in exponential form is:

82440 = 2³ × 3² × 5¹ × 229¹

Step-3: Factors of 82431

List of positive integer factors of 82431 that divides 82431 without a remainder.

1, 3, 9, 27, 43, 71, 129, 213, 387, 639, 1161, 1917, 3053, 9159, 27477

Step-4: Factors of 82440

List of positive integer factors of 82440 that divides 82431 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 229, 360, 458, 687, 916, 1145, 1374, 1832, 2061, 2290, 2748, 3435, 4122, 4580, 5496, 6870, 8244, 9160, 10305, 13740, 16488, 20610, 27480, 41220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82431 and 82440. The biggest common factor number is the GCF number.
So the greatest common factor 82431 and 82440 is 9.

Also check out the Least Common Multiple of 82431 and 82440