What is the Greatest Common Factor of 52728 and 52743?

Greatest common factor (GCF) of 52728 and 52743 is 3.

GCF(52728,52743) = 3

We will now calculate the prime factors of 52728 and 52743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52728 and 52743.

How to find the GCF of 52728 and 52743?

We will first find the prime factorization of 52728 and 52743. After we will calculate the factors of 52728 and 52743 and find the biggest common factor number .

Step-1: Prime Factorization of 52728

Prime factors of 52728 are 2, 3, 13. Prime factorization of 52728 in exponential form is:

52728 = 2³ × 3¹ × 13³

Step-2: Prime Factorization of 52743

Prime factors of 52743 are 3, 17581. Prime factorization of 52743 in exponential form is:

52743 = 3¹ × 17581¹

Step-3: Factors of 52728

List of positive integer factors of 52728 that divides 52728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 2197, 4056, 4394, 6591, 8788, 13182, 17576, 26364

Step-4: Factors of 52743

List of positive integer factors of 52743 that divides 52728 without a remainder.

1, 3, 17581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52728 and 52743. The biggest common factor number is the GCF number.
So the greatest common factor 52728 and 52743 is 3.

Also check out the Least Common Multiple of 52728 and 52743