What is the Greatest Common Factor of 52685 and 52704?

Greatest common factor (GCF) of 52685 and 52704 is 1.

GCF(52685,52704) = 1

We will now calculate the prime factors of 52685 and 52704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52685 and 52704.

How to find the GCF of 52685 and 52704?

We will first find the prime factorization of 52685 and 52704. After we will calculate the factors of 52685 and 52704 and find the biggest common factor number .

Step-1: Prime Factorization of 52685

Prime factors of 52685 are 5, 41, 257. Prime factorization of 52685 in exponential form is:

52685 = 5¹ × 41¹ × 257¹

Step-2: 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-3: Factors of 52685

List of positive integer factors of 52685 that divides 52685 without a remainder.

1, 5, 41, 205, 257, 1285, 10537

Step-4: Factors of 52704

List of positive integer factors of 52704 that divides 52685 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52685 and 52704. The biggest common factor number is the GCF number.
So the greatest common factor 52685 and 52704 is 1.

Also check out the Least Common Multiple of 52685 and 52704