What is the Greatest Common Factor of 52496 and 52513?

Greatest common factor (GCF) of 52496 and 52513 is 17.

GCF(52496,52513) = 17

We will now calculate the prime factors of 52496 and 52513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52496 and 52513.

How to find the GCF of 52496 and 52513?

We will first find the prime factorization of 52496 and 52513. After we will calculate the factors of 52496 and 52513 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52513

Prime factors of 52513 are 17, 3089. Prime factorization of 52513 in exponential form is:

52513 = 17¹ × 3089¹

Step-3: Factors of 52496

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

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

Step-4: Factors of 52513

List of positive integer factors of 52513 that divides 52496 without a remainder.

1, 17, 3089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52496 and 52513. The biggest common factor number is the GCF number.
So the greatest common factor 52496 and 52513 is 17.

Also check out the Least Common Multiple of 52496 and 52513