What is the Greatest Common Factor of 52704 and 52717?

Greatest common factor (GCF) of 52704 and 52717 is 1.

GCF(52704,52717) = 1

We will now calculate the prime factors of 52704 and 52717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52704 and 52717.

How to find the GCF of 52704 and 52717?

We will first find the prime factorization of 52704 and 52717. After we will calculate the factors of 52704 and 52717 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 52717

Prime factors of 52717 are 7, 17, 443. Prime factorization of 52717 in exponential form is:

52717 = 7¹ × 17¹ × 443¹

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 52717

List of positive integer factors of 52717 that divides 52704 without a remainder.

1, 7, 17, 119, 443, 3101, 7531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52704 and 52717. The biggest common factor number is the GCF number.
So the greatest common factor 52704 and 52717 is 1.

Also check out the Least Common Multiple of 52704 and 52717