What is the Greatest Common Factor of 52728 and 52735?

Greatest common factor (GCF) of 52728 and 52735 is 1.

GCF(52728,52735) = 1

We will now calculate the prime factors of 52728 and 52735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52728 and 52735.

How to find the GCF of 52728 and 52735?

We will first find the prime factorization of 52728 and 52735. After we will calculate the factors of 52728 and 52735 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 52735

Prime factors of 52735 are 5, 53, 199. Prime factorization of 52735 in exponential form is:

52735 = 5¹ × 53¹ × 199¹

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 52735

List of positive integer factors of 52735 that divides 52728 without a remainder.

1, 5, 53, 199, 265, 995, 10547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52728 and 52735. The biggest common factor number is the GCF number.
So the greatest common factor 52728 and 52735 is 1.

Also check out the Least Common Multiple of 52728 and 52735