What is the Greatest Common Factor of 82432 and 82442?

Greatest common factor (GCF) of 82432 and 82442 is 2.

GCF(82432,82442) = 2

We will now calculate the prime factors of 82432 and 82442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82432 and 82442.

How to find the GCF of 82432 and 82442?

We will first find the prime factorization of 82432 and 82442. After we will calculate the factors of 82432 and 82442 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 82442

Prime factors of 82442 are 2, 41221. Prime factorization of 82442 in exponential form is:

82442 = 2¹ × 41221¹

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 82442

List of positive integer factors of 82442 that divides 82432 without a remainder.

1, 2, 41221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82432 and 82442. The biggest common factor number is the GCF number.
So the greatest common factor 82432 and 82442 is 2.

Also check out the Least Common Multiple of 82432 and 82442