What is the Greatest Common Factor of 99705 and 99722?

Greatest common factor (GCF) of 99705 and 99722 is 17.

GCF(99705,99722) = 17

We will now calculate the prime factors of 99705 and 99722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99705 and 99722.

How to find the GCF of 99705 and 99722?

We will first find the prime factorization of 99705 and 99722. After we will calculate the factors of 99705 and 99722 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 99722

Prime factors of 99722 are 2, 7, 17, 419. Prime factorization of 99722 in exponential form is:

99722 = 2¹ × 7¹ × 17¹ × 419¹

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 99722

List of positive integer factors of 99722 that divides 99705 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 419, 838, 2933, 5866, 7123, 14246, 49861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99705 and 99722. The biggest common factor number is the GCF number.
So the greatest common factor 99705 and 99722 is 17.

Also check out the Least Common Multiple of 99705 and 99722