What is the Greatest Common Factor of 82421 and 82432?

Greatest common factor (GCF) of 82421 and 82432 is 1.

GCF(82421,82432) = 1

We will now calculate the prime factors of 82421 and 82432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82421 and 82432.

How to find the GCF of 82421 and 82432?

We will first find the prime factorization of 82421 and 82432. After we will calculate the factors of 82421 and 82432 and find the biggest common factor number .

Step-1: Prime Factorization of 82421

Prime factors of 82421 are 82421. Prime factorization of 82421 in exponential form is:

82421 = 82421¹

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 82421

List of positive integer factors of 82421 that divides 82421 without a remainder.

Step-4: Factors of 82432

List of positive integer factors of 82432 that divides 82421 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 82421 and 82432. The biggest common factor number is the GCF number.
So the greatest common factor 82421 and 82432 is 1.

Also check out the Least Common Multiple of 82421 and 82432