What is the Greatest Common Factor of 99688 and 99705?

Greatest common factor (GCF) of 99688 and 99705 is 17.

GCF(99688,99705) = 17

We will now calculate the prime factors of 99688 and 99705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99688 and 99705.

How to find the GCF of 99688 and 99705?

We will first find the prime factorization of 99688 and 99705. After we will calculate the factors of 99688 and 99705 and find the biggest common factor number .

Step-1: Prime Factorization of 99688

Prime factors of 99688 are 2, 17, 733. Prime factorization of 99688 in exponential form is:

99688 = 2³ × 17¹ × 733¹

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 99688

List of positive integer factors of 99688 that divides 99688 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 733, 1466, 2932, 5864, 12461, 24922, 49844

Step-4: Factors of 99705

List of positive integer factors of 99705 that divides 99688 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 99688 and 99705. The biggest common factor number is the GCF number.
So the greatest common factor 99688 and 99705 is 17.

Also check out the Least Common Multiple of 99688 and 99705