What is the Greatest Common Factor of 52480 and 52496?

Greatest common factor (GCF) of 52480 and 52496 is 16.

GCF(52480,52496) = 16

We will now calculate the prime factors of 52480 and 52496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52480 and 52496.

How to find the GCF of 52480 and 52496?

We will first find the prime factorization of 52480 and 52496. After we will calculate the factors of 52480 and 52496 and find the biggest common factor number .

Step-1: Prime Factorization of 52480

Prime factors of 52480 are 2, 5, 41. Prime factorization of 52480 in exponential form is:

52480 = 2⁸ × 5¹ × 41¹

Step-2: Prime Factorization of 52496

Prime factors of 52496 are 2, 17, 193. Prime factorization of 52496 in exponential form is:

52496 = 2⁴ × 17¹ × 193¹

Step-3: Factors of 52480

List of positive integer factors of 52480 that divides 52480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 128, 160, 164, 205, 256, 320, 328, 410, 640, 656, 820, 1280, 1312, 1640, 2624, 3280, 5248, 6560, 10496, 13120, 26240

Step-4: Factors of 52496

List of positive integer factors of 52496 that divides 52480 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 193, 272, 386, 772, 1544, 3088, 3281, 6562, 13124, 26248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52480 and 52496. The biggest common factor number is the GCF number.
So the greatest common factor 52480 and 52496 is 16.

Also check out the Least Common Multiple of 52480 and 52496