What is the Greatest Common Factor of 38704 and 38721?

Greatest common factor (GCF) of 38704 and 38721 is 1.

GCF(38704,38721) = 1

We will now calculate the prime factors of 38704 and 38721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38704 and 38721.

How to find the GCF of 38704 and 38721?

We will first find the prime factorization of 38704 and 38721. After we will calculate the factors of 38704 and 38721 and find the biggest common factor number .

Step-1: Prime Factorization of 38704

Prime factors of 38704 are 2, 41, 59. Prime factorization of 38704 in exponential form is:

38704 = 2⁴ × 41¹ × 59¹

Step-2: Prime Factorization of 38721

Prime factors of 38721 are 3, 12907. Prime factorization of 38721 in exponential form is:

38721 = 3¹ × 12907¹

Step-3: Factors of 38704

List of positive integer factors of 38704 that divides 38704 without a remainder.

1, 2, 4, 8, 16, 41, 59, 82, 118, 164, 236, 328, 472, 656, 944, 2419, 4838, 9676, 19352

Step-4: Factors of 38721

List of positive integer factors of 38721 that divides 38704 without a remainder.

1, 3, 12907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38704 and 38721. The biggest common factor number is the GCF number.
So the greatest common factor 38704 and 38721 is 1.

Also check out the Least Common Multiple of 38704 and 38721