What is the Greatest Common Factor of 52704 and 52719?

Greatest common factor (GCF) of 52704 and 52719 is 3.

GCF(52704,52719) = 3

We will now calculate the prime factors of 52704 and 52719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52704 and 52719.

How to find the GCF of 52704 and 52719?

We will first find the prime factorization of 52704 and 52719. After we will calculate the factors of 52704 and 52719 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 52719

Prime factors of 52719 are 3, 17573. Prime factorization of 52719 in exponential form is:

52719 = 3¹ × 17573¹

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 52719

List of positive integer factors of 52719 that divides 52704 without a remainder.

1, 3, 17573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52704 and 52719. The biggest common factor number is the GCF number.
So the greatest common factor 52704 and 52719 is 3.

Also check out the Least Common Multiple of 52704 and 52719