What is the Greatest Common Factor of 82448 and 82464?

Greatest common factor (GCF) of 82448 and 82464 is 16.

GCF(82448,82464) = 16

We will now calculate the prime factors of 82448 and 82464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82448 and 82464.

How to find the GCF of 82448 and 82464?

We will first find the prime factorization of 82448 and 82464. After we will calculate the factors of 82448 and 82464 and find the biggest common factor number .

Step-1: Prime Factorization of 82448

Prime factors of 82448 are 2, 5153. Prime factorization of 82448 in exponential form is:

82448 = 2⁴ × 5153¹

Step-2: 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-3: Factors of 82448

List of positive integer factors of 82448 that divides 82448 without a remainder.

1, 2, 4, 8, 16, 5153, 10306, 20612, 41224

Step-4: Factors of 82464

List of positive integer factors of 82464 that divides 82448 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82448 and 82464. The biggest common factor number is the GCF number.
So the greatest common factor 82448 and 82464 is 16.

Also check out the Least Common Multiple of 82448 and 82464