What is the Greatest Common Factor of 53328 and 53343?

Greatest common factor (GCF) of 53328 and 53343 is 3.

GCF(53328,53343) = 3

We will now calculate the prime factors of 53328 and 53343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53328 and 53343.

How to find the GCF of 53328 and 53343?

We will first find the prime factorization of 53328 and 53343. After we will calculate the factors of 53328 and 53343 and find the biggest common factor number .

Step-1: Prime Factorization of 53328

Prime factors of 53328 are 2, 3, 11, 101. Prime factorization of 53328 in exponential form is:

53328 = 2⁴ × 3¹ × 11¹ × 101¹

Step-2: Prime Factorization of 53343

Prime factors of 53343 are 3, 5927. Prime factorization of 53343 in exponential form is:

53343 = 3² × 5927¹

Step-3: Factors of 53328

List of positive integer factors of 53328 that divides 53328 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 101, 132, 176, 202, 264, 303, 404, 528, 606, 808, 1111, 1212, 1616, 2222, 2424, 3333, 4444, 4848, 6666, 8888, 13332, 17776, 26664

Step-4: Factors of 53343

List of positive integer factors of 53343 that divides 53328 without a remainder.

1, 3, 9, 5927, 17781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53328 and 53343. The biggest common factor number is the GCF number.
So the greatest common factor 53328 and 53343 is 3.

Also check out the Least Common Multiple of 53328 and 53343