What is the Greatest Common Factor of 99705 and 99714?

Greatest common factor (GCF) of 99705 and 99714 is 3.

GCF(99705,99714) = 3

We will now calculate the prime factors of 99705 and 99714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99705 and 99714.

How to find the GCF of 99705 and 99714?

We will first find the prime factorization of 99705 and 99714. After we will calculate the factors of 99705 and 99714 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 99714

Prime factors of 99714 are 2, 3, 16619. Prime factorization of 99714 in exponential form is:

99714 = 2¹ × 3¹ × 16619¹

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 99714

List of positive integer factors of 99714 that divides 99705 without a remainder.

1, 2, 3, 6, 16619, 33238, 49857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99705 and 99714. The biggest common factor number is the GCF number.
So the greatest common factor 99705 and 99714 is 3.

Also check out the Least Common Multiple of 99705 and 99714