What is the Greatest Common Factor of 52480 and 52494?

Greatest common factor (GCF) of 52480 and 52494 is 2.

GCF(52480,52494) = 2

We will now calculate the prime factors of 52480 and 52494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52480 and 52494.

How to find the GCF of 52480 and 52494?

We will first find the prime factorization of 52480 and 52494. After we will calculate the factors of 52480 and 52494 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 52494

Prime factors of 52494 are 2, 3, 13, 673. Prime factorization of 52494 in exponential form is:

52494 = 2¹ × 3¹ × 13¹ × 673¹

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 52494

List of positive integer factors of 52494 that divides 52480 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 673, 1346, 2019, 4038, 8749, 17498, 26247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52480 and 52494. The biggest common factor number is the GCF number.
So the greatest common factor 52480 and 52494 is 2.

Also check out the Least Common Multiple of 52480 and 52494