What is the Greatest Common Factor of 82432 and 82448?

Greatest common factor (GCF) of 82432 and 82448 is 16.

GCF(82432,82448) = 16

We will now calculate the prime factors of 82432 and 82448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82432 and 82448.

How to find the GCF of 82432 and 82448?

We will first find the prime factorization of 82432 and 82448. After we will calculate the factors of 82432 and 82448 and find the biggest common factor number .

Step-1: Prime Factorization of 82432

Prime factors of 82432 are 2, 7, 23. Prime factorization of 82432 in exponential form is:

82432 = 2⁹ × 7¹ × 23¹

Step-2: Prime Factorization of 82448

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

82448 = 2⁴ × 5153¹

Step-3: Factors of 82432

List of positive integer factors of 82432 that divides 82432 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 64, 92, 112, 128, 161, 184, 224, 256, 322, 368, 448, 512, 644, 736, 896, 1288, 1472, 1792, 2576, 2944, 3584, 5152, 5888, 10304, 11776, 20608, 41216

Step-4: Factors of 82448

List of positive integer factors of 82448 that divides 82432 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82432 and 82448. The biggest common factor number is the GCF number.
So the greatest common factor 82432 and 82448 is 16.

Also check out the Least Common Multiple of 82432 and 82448