What is the Greatest Common Factor of 53340 and 53344?

Greatest common factor (GCF) of 53340 and 53344 is 4.

GCF(53340,53344) = 4

We will now calculate the prime factors of 53340 and 53344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53340 and 53344.

How to find the GCF of 53340 and 53344?

We will first find the prime factorization of 53340 and 53344. After we will calculate the factors of 53340 and 53344 and find the biggest common factor number .

Step-1: Prime Factorization of 53340

Prime factors of 53340 are 2, 3, 5, 7, 127. Prime factorization of 53340 in exponential form is:

53340 = 2² × 3¹ × 5¹ × 7¹ × 127¹

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 53340

List of positive integer factors of 53340 that divides 53340 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 127, 140, 210, 254, 381, 420, 508, 635, 762, 889, 1270, 1524, 1778, 1905, 2540, 2667, 3556, 3810, 4445, 5334, 7620, 8890, 10668, 13335, 17780, 26670

Step-4: Factors of 53344

List of positive integer factors of 53344 that divides 53340 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 53340 and 53344. The biggest common factor number is the GCF number.
So the greatest common factor 53340 and 53344 is 4.

Also check out the Least Common Multiple of 53340 and 53344