What is the Greatest Common Factor of 52704 and 52723?

Greatest common factor (GCF) of 52704 and 52723 is 1.

GCF(52704,52723) = 1

We will now calculate the prime factors of 52704 and 52723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52704 and 52723.

How to find the GCF of 52704 and 52723?

We will first find the prime factorization of 52704 and 52723. After we will calculate the factors of 52704 and 52723 and find the biggest common factor number .

Step-1: Prime Factorization of 52704

Prime factors of 52704 are 2, 3, 61. Prime factorization of 52704 in exponential form is:

52704 = 2⁵ × 3³ × 61¹

Step-2: Prime Factorization of 52723

Prime factors of 52723 are 11, 4793. Prime factorization of 52723 in exponential form is:

52723 = 11¹ × 4793¹

Step-3: Factors of 52704

List of positive integer factors of 52704 that divides 52704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 61, 72, 96, 108, 122, 144, 183, 216, 244, 288, 366, 432, 488, 549, 732, 864, 976, 1098, 1464, 1647, 1952, 2196, 2928, 3294, 4392, 5856, 6588, 8784, 13176, 17568, 26352

Step-4: Factors of 52723

List of positive integer factors of 52723 that divides 52704 without a remainder.

1, 11, 4793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52704 and 52723. The biggest common factor number is the GCF number.
So the greatest common factor 52704 and 52723 is 1.

Also check out the Least Common Multiple of 52704 and 52723