What is the Greatest Common Factor of 52480 and 52491?

Greatest common factor (GCF) of 52480 and 52491 is 1.

GCF(52480,52491) = 1

We will now calculate the prime factors of 52480 and 52491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52480 and 52491.

How to find the GCF of 52480 and 52491?

We will first find the prime factorization of 52480 and 52491. After we will calculate the factors of 52480 and 52491 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 52491

Prime factors of 52491 are 3, 17497. Prime factorization of 52491 in exponential form is:

52491 = 3¹ × 17497¹

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 52491

List of positive integer factors of 52491 that divides 52480 without a remainder.

1, 3, 17497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52480 and 52491. The biggest common factor number is the GCF number.
So the greatest common factor 52480 and 52491 is 1.

Also check out the Least Common Multiple of 52480 and 52491