What is the Greatest Common Factor of 82414 and 82432?

Greatest common factor (GCF) of 82414 and 82432 is 2.

GCF(82414,82432) = 2

We will now calculate the prime factors of 82414 and 82432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82414 and 82432.

How to find the GCF of 82414 and 82432?

We will first find the prime factorization of 82414 and 82432. After we will calculate the factors of 82414 and 82432 and find the biggest common factor number .

Step-1: Prime Factorization of 82414

Prime factors of 82414 are 2, 89, 463. Prime factorization of 82414 in exponential form is:

82414 = 2¹ × 89¹ × 463¹

Step-2: 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-3: Factors of 82414

List of positive integer factors of 82414 that divides 82414 without a remainder.

1, 2, 89, 178, 463, 926, 41207

Step-4: Factors of 82432

List of positive integer factors of 82432 that divides 82414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82414 and 82432. The biggest common factor number is the GCF number.
So the greatest common factor 82414 and 82432 is 2.

Also check out the Least Common Multiple of 82414 and 82432