What is the Greatest Common Factor of 82458 and 82476?

Greatest common factor (GCF) of 82458 and 82476 is 18.

GCF(82458,82476) = 18

We will now calculate the prime factors of 82458 and 82476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82458 and 82476.

How to find the GCF of 82458 and 82476?

We will first find the prime factorization of 82458 and 82476. After we will calculate the factors of 82458 and 82476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82476

Prime factors of 82476 are 2, 3, 29, 79. Prime factorization of 82476 in exponential form is:

82476 = 2² × 3² × 29¹ × 79¹

Step-3: Factors of 82458

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

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

Step-4: Factors of 82476

List of positive integer factors of 82476 that divides 82458 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 79, 87, 116, 158, 174, 237, 261, 316, 348, 474, 522, 711, 948, 1044, 1422, 2291, 2844, 4582, 6873, 9164, 13746, 20619, 27492, 41238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82458 and 82476. The biggest common factor number is the GCF number.
So the greatest common factor 82458 and 82476 is 18.

Also check out the Least Common Multiple of 82458 and 82476