What is the Greatest Common Factor of 52728 and 52732?

Greatest common factor (GCF) of 52728 and 52732 is 4.

GCF(52728,52732) = 4

We will now calculate the prime factors of 52728 and 52732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52728 and 52732.

How to find the GCF of 52728 and 52732?

We will first find the prime factorization of 52728 and 52732. After we will calculate the factors of 52728 and 52732 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 52732

Prime factors of 52732 are 2, 13183. Prime factorization of 52732 in exponential form is:

52732 = 2² × 13183¹

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 52732

List of positive integer factors of 52732 that divides 52728 without a remainder.

1, 2, 4, 13183, 26366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52728 and 52732. The biggest common factor number is the GCF number.
So the greatest common factor 52728 and 52732 is 4.

Also check out the Least Common Multiple of 52728 and 52732