What is the Greatest Common Factor of 52480 and 52490?

Greatest common factor (GCF) of 52480 and 52490 is 10.

GCF(52480,52490) = 10

We will now calculate the prime factors of 52480 and 52490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52480 and 52490.

How to find the GCF of 52480 and 52490?

We will first find the prime factorization of 52480 and 52490. After we will calculate the factors of 52480 and 52490 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 52490

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

52490 = 2¹ × 5¹ × 29¹ × 181¹

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 52490

List of positive integer factors of 52490 that divides 52480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52480 and 52490. The biggest common factor number is the GCF number.
So the greatest common factor 52480 and 52490 is 10.

Also check out the Least Common Multiple of 52480 and 52490