What is the Greatest Common Factor of 53440 and 53456?

Greatest common factor (GCF) of 53440 and 53456 is 16.

GCF(53440,53456) = 16

We will now calculate the prime factors of 53440 and 53456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53440 and 53456.

How to find the GCF of 53440 and 53456?

We will first find the prime factorization of 53440 and 53456. After we will calculate the factors of 53440 and 53456 and find the biggest common factor number .

Step-1: Prime Factorization of 53440

Prime factors of 53440 are 2, 5, 167. Prime factorization of 53440 in exponential form is:

53440 = 2⁶ × 5¹ × 167¹

Step-2: Prime Factorization of 53456

Prime factors of 53456 are 2, 13, 257. Prime factorization of 53456 in exponential form is:

53456 = 2⁴ × 13¹ × 257¹

Step-3: Factors of 53440

List of positive integer factors of 53440 that divides 53440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 167, 320, 334, 668, 835, 1336, 1670, 2672, 3340, 5344, 6680, 10688, 13360, 26720

Step-4: Factors of 53456

List of positive integer factors of 53456 that divides 53440 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 257, 514, 1028, 2056, 3341, 4112, 6682, 13364, 26728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53440 and 53456. The biggest common factor number is the GCF number.
So the greatest common factor 53440 and 53456 is 16.

Also check out the Least Common Multiple of 53440 and 53456