What is the Greatest Common Factor of 82449 and 82458?

Greatest common factor (GCF) of 82449 and 82458 is 9.

GCF(82449,82458) = 9

We will now calculate the prime factors of 82449 and 82458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82449 and 82458.

How to find the GCF of 82449 and 82458?

We will first find the prime factorization of 82449 and 82458. After we will calculate the factors of 82449 and 82458 and find the biggest common factor number .

Step-1: Prime Factorization of 82449

Prime factors of 82449 are 3, 9161. Prime factorization of 82449 in exponential form is:

82449 = 3² × 9161¹

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 82449

List of positive integer factors of 82449 that divides 82449 without a remainder.

1, 3, 9, 9161, 27483

Step-4: Factors of 82458

List of positive integer factors of 82458 that divides 82449 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 82449 and 82458. The biggest common factor number is the GCF number.
So the greatest common factor 82449 and 82458 is 9.

Also check out the Least Common Multiple of 82449 and 82458