What is the Greatest Common Factor of 82430 and 82440?

Greatest common factor (GCF) of 82430 and 82440 is 10.

GCF(82430,82440) = 10

We will now calculate the prime factors of 82430 and 82440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82430 and 82440.

How to find the GCF of 82430 and 82440?

We will first find the prime factorization of 82430 and 82440. After we will calculate the factors of 82430 and 82440 and find the biggest common factor number .

Step-1: Prime Factorization of 82430

Prime factors of 82430 are 2, 5, 8243. Prime factorization of 82430 in exponential form is:

82430 = 2¹ × 5¹ × 8243¹

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 82430

List of positive integer factors of 82430 that divides 82430 without a remainder.

1, 2, 5, 10, 8243, 16486, 41215

Step-4: Factors of 82440

List of positive integer factors of 82440 that divides 82430 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 82430 and 82440. The biggest common factor number is the GCF number.
So the greatest common factor 82430 and 82440 is 10.

Also check out the Least Common Multiple of 82430 and 82440