What is the Greatest Common Factor of 53313 and 53331?

Greatest common factor (GCF) of 53313 and 53331 is 3.

GCF(53313,53331) = 3

We will now calculate the prime factors of 53313 and 53331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53313 and 53331.

How to find the GCF of 53313 and 53331?

We will first find the prime factorization of 53313 and 53331. After we will calculate the factors of 53313 and 53331 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 53331

Prime factors of 53331 are 3, 29, 613. Prime factorization of 53331 in exponential form is:

53331 = 3¹ × 29¹ × 613¹

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 53331

List of positive integer factors of 53331 that divides 53313 without a remainder.

1, 3, 29, 87, 613, 1839, 17777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53313 and 53331. The biggest common factor number is the GCF number.
So the greatest common factor 53313 and 53331 is 3.

Also check out the Least Common Multiple of 53313 and 53331