What is the Greatest Common Factor of 52490 and 52496?

Greatest common factor (GCF) of 52490 and 52496 is 2.

GCF(52490,52496) = 2

We will now calculate the prime factors of 52490 and 52496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52490 and 52496.

How to find the GCF of 52490 and 52496?

We will first find the prime factorization of 52490 and 52496. After we will calculate the factors of 52490 and 52496 and find the biggest common factor number .

Step-1: Prime Factorization of 52490

Prime factors of 52490 are 2, 5, 29, 181. Prime factorization of 52490 in exponential form is:

52490 = 2¹ × 5¹ × 29¹ × 181¹

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 52490

List of positive integer factors of 52490 that divides 52490 without a remainder.

1, 2, 5, 10, 29, 58, 145, 181, 290, 362, 905, 1810, 5249, 10498, 26245

Step-4: Factors of 52496

List of positive integer factors of 52496 that divides 52490 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 52490 and 52496. The biggest common factor number is the GCF number.
So the greatest common factor 52490 and 52496 is 2.

Also check out the Least Common Multiple of 52490 and 52496