What is the Greatest Common Factor of 48704 and 48721?

Greatest common factor (GCF) of 48704 and 48721 is 1.

GCF(48704,48721) = 1

We will now calculate the prime factors of 48704 and 48721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48704 and 48721.

How to find the GCF of 48704 and 48721?

We will first find the prime factorization of 48704 and 48721. After we will calculate the factors of 48704 and 48721 and find the biggest common factor number .

Step-1: Prime Factorization of 48704

Prime factors of 48704 are 2, 761. Prime factorization of 48704 in exponential form is:

48704 = 2⁶ × 761¹

Step-2: Prime Factorization of 48721

Prime factors of 48721 are 83, 587. Prime factorization of 48721 in exponential form is:

48721 = 83¹ × 587¹

Step-3: Factors of 48704

List of positive integer factors of 48704 that divides 48704 without a remainder.

1, 2, 4, 8, 16, 32, 64, 761, 1522, 3044, 6088, 12176, 24352

Step-4: Factors of 48721

List of positive integer factors of 48721 that divides 48704 without a remainder.

1, 83, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48704 and 48721. The biggest common factor number is the GCF number.
So the greatest common factor 48704 and 48721 is 1.

Also check out the Least Common Multiple of 48704 and 48721