What is the Greatest Common Factor of 53307 and 53313?

Greatest common factor (GCF) of 53307 and 53313 is 3.

GCF(53307,53313) = 3

We will now calculate the prime factors of 53307 and 53313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53307 and 53313.

How to find the GCF of 53307 and 53313?

We will first find the prime factorization of 53307 and 53313. After we will calculate the factors of 53307 and 53313 and find the biggest common factor number .

Step-1: Prime Factorization of 53307

Prime factors of 53307 are 3, 5923. Prime factorization of 53307 in exponential form is:

53307 = 3² × 5923¹

Step-2: 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-3: Factors of 53307

List of positive integer factors of 53307 that divides 53307 without a remainder.

1, 3, 9, 5923, 17769

Step-4: Factors of 53313

List of positive integer factors of 53313 that divides 53307 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53307 and 53313. The biggest common factor number is the GCF number.
So the greatest common factor 53307 and 53313 is 3.

Also check out the Least Common Multiple of 53307 and 53313