What is the Greatest Common Factor of 82440 and 82458?

Greatest common factor (GCF) of 82440 and 82458 is 18.

GCF(82440,82458) = 18

We will now calculate the prime factors of 82440 and 82458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82440 and 82458.

How to find the GCF of 82440 and 82458?

We will first find the prime factorization of 82440 and 82458. After we will calculate the factors of 82440 and 82458 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82458

Prime factors of 82458 are 2, 3, 509. Prime factorization of 82458 in exponential form is:

82458 = 2¹ × 3⁴ × 509¹

Step-3: Factors of 82440

List of positive integer factors of 82440 that divides 82440 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

Step-4: Factors of 82458

List of positive integer factors of 82458 that divides 82440 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 509, 1018, 1527, 3054, 4581, 9162, 13743, 27486, 41229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82440 and 82458. The biggest common factor number is the GCF number.
So the greatest common factor 82440 and 82458 is 18.

Also check out the Least Common Multiple of 82440 and 82458