What is the Greatest Common Factor of 56704 and 56721?

Greatest common factor (GCF) of 56704 and 56721 is 1.

GCF(56704,56721) = 1

We will now calculate the prime factors of 56704 and 56721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56704 and 56721.

How to find the GCF of 56704 and 56721?

We will first find the prime factorization of 56704 and 56721. After we will calculate the factors of 56704 and 56721 and find the biggest common factor number .

Step-1: Prime Factorization of 56704

Prime factors of 56704 are 2, 443. Prime factorization of 56704 in exponential form is:

56704 = 2⁷ × 443¹

Step-2: Prime Factorization of 56721

Prime factors of 56721 are 3, 7, 37, 73. Prime factorization of 56721 in exponential form is:

56721 = 3¹ × 7¹ × 37¹ × 73¹

Step-3: Factors of 56704

List of positive integer factors of 56704 that divides 56704 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 443, 886, 1772, 3544, 7088, 14176, 28352

Step-4: Factors of 56721

List of positive integer factors of 56721 that divides 56704 without a remainder.

1, 3, 7, 21, 37, 73, 111, 219, 259, 511, 777, 1533, 2701, 8103, 18907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56704 and 56721. The biggest common factor number is the GCF number.
So the greatest common factor 56704 and 56721 is 1.

Also check out the Least Common Multiple of 56704 and 56721