What is the Greatest Common Factor of 82464 and 82476?

Greatest common factor (GCF) of 82464 and 82476 is 12.

GCF(82464,82476) = 12

We will now calculate the prime factors of 82464 and 82476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82464 and 82476.

How to find the GCF of 82464 and 82476?

We will first find the prime factorization of 82464 and 82476. After we will calculate the factors of 82464 and 82476 and find the biggest common factor number .

Step-1: Prime Factorization of 82464

Prime factors of 82464 are 2, 3, 859. Prime factorization of 82464 in exponential form is:

82464 = 2⁵ × 3¹ × 859¹

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 82464

List of positive integer factors of 82464 that divides 82464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 859, 1718, 2577, 3436, 5154, 6872, 10308, 13744, 20616, 27488, 41232

Step-4: Factors of 82476

List of positive integer factors of 82476 that divides 82464 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 82464 and 82476. The biggest common factor number is the GCF number.
So the greatest common factor 82464 and 82476 is 12.

Also check out the Least Common Multiple of 82464 and 82476