What is the Greatest Common Factor of 82416 and 82432?

Greatest common factor (GCF) of 82416 and 82432 is 16.

GCF(82416,82432) = 16

We will now calculate the prime factors of 82416 and 82432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82416 and 82432.

How to find the GCF of 82416 and 82432?

We will first find the prime factorization of 82416 and 82432. After we will calculate the factors of 82416 and 82432 and find the biggest common factor number .

Step-1: Prime Factorization of 82416

Prime factors of 82416 are 2, 3, 17, 101. Prime factorization of 82416 in exponential form is:

82416 = 2⁴ × 3¹ × 17¹ × 101¹

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 82416

List of positive integer factors of 82416 that divides 82416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 101, 102, 136, 202, 204, 272, 303, 404, 408, 606, 808, 816, 1212, 1616, 1717, 2424, 3434, 4848, 5151, 6868, 10302, 13736, 20604, 27472, 41208

Step-4: Factors of 82432

List of positive integer factors of 82432 that divides 82416 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 82416 and 82432. The biggest common factor number is the GCF number.
So the greatest common factor 82416 and 82432 is 16.

Also check out the Least Common Multiple of 82416 and 82432