What is the Greatest Common Factor of 99705 and 99721?

Greatest common factor (GCF) of 99705 and 99721 is 1.

GCF(99705,99721) = 1

We will now calculate the prime factors of 99705 and 99721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99705 and 99721.

How to find the GCF of 99705 and 99721?

We will first find the prime factorization of 99705 and 99721. After we will calculate the factors of 99705 and 99721 and find the biggest common factor number .

Step-1: Prime Factorization of 99705

Prime factors of 99705 are 3, 5, 17, 23. Prime factorization of 99705 in exponential form is:

99705 = 3¹ × 5¹ × 17² × 23¹

Step-2: Prime Factorization of 99721

Prime factors of 99721 are 99721. Prime factorization of 99721 in exponential form is:

99721 = 99721¹

Step-3: Factors of 99705

List of positive integer factors of 99705 that divides 99705 without a remainder.

1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 289, 345, 391, 867, 1173, 1445, 1955, 4335, 5865, 6647, 19941, 33235

Step-4: Factors of 99721

List of positive integer factors of 99721 that divides 99705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99705 and 99721. The biggest common factor number is the GCF number.
So the greatest common factor 99705 and 99721 is 1.

Also check out the Least Common Multiple of 99705 and 99721