What is the Greatest Common Factor of 53304 and 53313?

Greatest common factor (GCF) of 53304 and 53313 is 3.

GCF(53304,53313) = 3

We will now calculate the prime factors of 53304 and 53313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53304 and 53313.

How to find the GCF of 53304 and 53313?

We will first find the prime factorization of 53304 and 53313. After we will calculate the factors of 53304 and 53313 and find the biggest common factor number .

Step-1: Prime Factorization of 53304

Prime factors of 53304 are 2, 3, 2221. Prime factorization of 53304 in exponential form is:

53304 = 2³ × 3¹ × 2221¹

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 53304

List of positive integer factors of 53304 that divides 53304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2221, 4442, 6663, 8884, 13326, 17768, 26652

Step-4: Factors of 53313

List of positive integer factors of 53313 that divides 53304 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53304 and 53313. The biggest common factor number is the GCF number.
So the greatest common factor 53304 and 53313 is 3.

Also check out the Least Common Multiple of 53304 and 53313