What is the Greatest Common Factor of 53313 and 53317?

Greatest common factor (GCF) of 53313 and 53317 is 1.

GCF(53313,53317) = 1

We will now calculate the prime factors of 53313 and 53317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53313 and 53317.

How to find the GCF of 53313 and 53317?

We will first find the prime factorization of 53313 and 53317. After we will calculate the factors of 53313 and 53317 and find the biggest common factor number .

Step-1: Prime Factorization of 53313

Prime factors of 53313 are 3, 13, 1367. Prime factorization of 53313 in exponential form is:

53313 = 3¹ × 13¹ × 1367¹

Step-2: Prime Factorization of 53317

Prime factors of 53317 are 11, 37, 131. Prime factorization of 53317 in exponential form is:

53317 = 11¹ × 37¹ × 131¹

Step-3: Factors of 53313

List of positive integer factors of 53313 that divides 53313 without a remainder.

1, 3, 13, 39, 1367, 4101, 17771

Step-4: Factors of 53317

List of positive integer factors of 53317 that divides 53313 without a remainder.

1, 11, 37, 131, 407, 1441, 4847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53313 and 53317. The biggest common factor number is the GCF number.
So the greatest common factor 53313 and 53317 is 1.

Also check out the Least Common Multiple of 53313 and 53317