What is the Greatest Common Factor of 99699 and 99705?

Greatest common factor (GCF) of 99699 and 99705 is 3.

GCF(99699,99705) = 3

We will now calculate the prime factors of 99699 and 99705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99699 and 99705.

How to find the GCF of 99699 and 99705?

We will first find the prime factorization of 99699 and 99705. After we will calculate the factors of 99699 and 99705 and find the biggest common factor number .

Step-1: Prime Factorization of 99699

Prime factors of 99699 are 3, 167, 199. Prime factorization of 99699 in exponential form is:

99699 = 3¹ × 167¹ × 199¹

Step-2: 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-3: Factors of 99699

List of positive integer factors of 99699 that divides 99699 without a remainder.

1, 3, 167, 199, 501, 597, 33233

Step-4: Factors of 99705

List of positive integer factors of 99705 that divides 99699 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99699 and 99705. The biggest common factor number is the GCF number.
So the greatest common factor 99699 and 99705 is 3.

Also check out the Least Common Multiple of 99699 and 99705