What is the Greatest Common Factor of 53383 and 53389?

Greatest common factor (GCF) of 53383 and 53389 is 1.

GCF(53383,53389) = 1

We will now calculate the prime factors of 53383 and 53389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53383 and 53389.

How to find the GCF of 53383 and 53389?

We will first find the prime factorization of 53383 and 53389. After we will calculate the factors of 53383 and 53389 and find the biggest common factor number .

Step-1: Prime Factorization of 53383

Prime factors of 53383 are 11, 23, 211. Prime factorization of 53383 in exponential form is:

53383 = 11¹ × 23¹ × 211¹

Step-2: Prime Factorization of 53389

Prime factors of 53389 are 7, 29, 263. Prime factorization of 53389 in exponential form is:

53389 = 7¹ × 29¹ × 263¹

Step-3: Factors of 53383

List of positive integer factors of 53383 that divides 53383 without a remainder.

1, 11, 23, 211, 253, 2321, 4853

Step-4: Factors of 53389

List of positive integer factors of 53389 that divides 53383 without a remainder.

1, 7, 29, 203, 263, 1841, 7627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53383 and 53389. The biggest common factor number is the GCF number.
So the greatest common factor 53383 and 53389 is 1.

Also check out the Least Common Multiple of 53383 and 53389