What is the Greatest Common Factor of 52692 and 52704?

Greatest common factor (GCF) of 52692 and 52704 is 12.

GCF(52692,52704) = 12

We will now calculate the prime factors of 52692 and 52704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52692 and 52704.

How to find the GCF of 52692 and 52704?

We will first find the prime factorization of 52692 and 52704. After we will calculate the factors of 52692 and 52704 and find the biggest common factor number .

Step-1: Prime Factorization of 52692

Prime factors of 52692 are 2, 3, 4391. Prime factorization of 52692 in exponential form is:

52692 = 2² × 3¹ × 4391¹

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 52692

List of positive integer factors of 52692 that divides 52692 without a remainder.

1, 2, 3, 4, 6, 12, 4391, 8782, 13173, 17564, 26346

Step-4: Factors of 52704

List of positive integer factors of 52704 that divides 52692 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 52692 and 52704. The biggest common factor number is the GCF number.
So the greatest common factor 52692 and 52704 is 12.

Also check out the Least Common Multiple of 52692 and 52704