What is the Greatest Common Factor of 57705 and 57721?

Greatest common factor (GCF) of 57705 and 57721 is 1.

GCF(57705,57721) = 1

We will now calculate the prime factors of 57705 and 57721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57705 and 57721.

How to find the GCF of 57705 and 57721?

We will first find the prime factorization of 57705 and 57721. After we will calculate the factors of 57705 and 57721 and find the biggest common factor number .

Step-1: Prime Factorization of 57705

Prime factors of 57705 are 3, 5, 3847. Prime factorization of 57705 in exponential form is:

57705 = 3¹ × 5¹ × 3847¹

Step-2: Prime Factorization of 57721

Prime factors of 57721 are 197, 293. Prime factorization of 57721 in exponential form is:

57721 = 197¹ × 293¹

Step-3: Factors of 57705

List of positive integer factors of 57705 that divides 57705 without a remainder.

1, 3, 5, 15, 3847, 11541, 19235

Step-4: Factors of 57721

List of positive integer factors of 57721 that divides 57705 without a remainder.

1, 197, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57705 and 57721. The biggest common factor number is the GCF number.
So the greatest common factor 57705 and 57721 is 1.

Also check out the Least Common Multiple of 57705 and 57721