What is the Greatest Common Factor of 53336 and 53344?

Greatest common factor (GCF) of 53336 and 53344 is 8.

GCF(53336,53344) = 8

We will now calculate the prime factors of 53336 and 53344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53336 and 53344.

How to find the GCF of 53336 and 53344?

We will first find the prime factorization of 53336 and 53344. After we will calculate the factors of 53336 and 53344 and find the biggest common factor number .

Step-1: Prime Factorization of 53336

Prime factors of 53336 are 2, 59, 113. Prime factorization of 53336 in exponential form is:

53336 = 2³ × 59¹ × 113¹

Step-2: Prime Factorization of 53344

Prime factors of 53344 are 2, 1667. Prime factorization of 53344 in exponential form is:

53344 = 2⁵ × 1667¹

Step-3: Factors of 53336

List of positive integer factors of 53336 that divides 53336 without a remainder.

1, 2, 4, 8, 59, 113, 118, 226, 236, 452, 472, 904, 6667, 13334, 26668

Step-4: Factors of 53344

List of positive integer factors of 53344 that divides 53336 without a remainder.

1, 2, 4, 8, 16, 32, 1667, 3334, 6668, 13336, 26672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53336 and 53344. The biggest common factor number is the GCF number.
So the greatest common factor 53336 and 53344 is 8.

Also check out the Least Common Multiple of 53336 and 53344