What is the Greatest Common Factor of 52464 and 52480?

Greatest common factor (GCF) of 52464 and 52480 is 16.

GCF(52464,52480) = 16

We will now calculate the prime factors of 52464 and 52480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52464 and 52480.

How to find the GCF of 52464 and 52480?

We will first find the prime factorization of 52464 and 52480. After we will calculate the factors of 52464 and 52480 and find the biggest common factor number .

Step-1: Prime Factorization of 52464

Prime factors of 52464 are 2, 3, 1093. Prime factorization of 52464 in exponential form is:

52464 = 2⁴ × 3¹ × 1093¹

Step-2: 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-3: Factors of 52464

List of positive integer factors of 52464 that divides 52464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1093, 2186, 3279, 4372, 6558, 8744, 13116, 17488, 26232

Step-4: Factors of 52480

List of positive integer factors of 52480 that divides 52464 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52464 and 52480. The biggest common factor number is the GCF number.
So the greatest common factor 52464 and 52480 is 16.

Also check out the Least Common Multiple of 52464 and 52480