What is the Greatest Common Factor of 99702 and 99717?

Greatest common factor (GCF) of 99702 and 99717 is 3.

GCF(99702,99717) = 3

We will now calculate the prime factors of 99702 and 99717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99702 and 99717.

How to find the GCF of 99702 and 99717?

We will first find the prime factorization of 99702 and 99717. After we will calculate the factors of 99702 and 99717 and find the biggest common factor number .

Step-1: Prime Factorization of 99702

Prime factors of 99702 are 2, 3, 29, 191. Prime factorization of 99702 in exponential form is:

99702 = 2¹ × 3² × 29¹ × 191¹

Step-2: Prime Factorization of 99717

Prime factors of 99717 are 3, 43, 773. Prime factorization of 99717 in exponential form is:

99717 = 3¹ × 43¹ × 773¹

Step-3: Factors of 99702

List of positive integer factors of 99702 that divides 99702 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 191, 261, 382, 522, 573, 1146, 1719, 3438, 5539, 11078, 16617, 33234, 49851

Step-4: Factors of 99717

List of positive integer factors of 99717 that divides 99702 without a remainder.

1, 3, 43, 129, 773, 2319, 33239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99702 and 99717. The biggest common factor number is the GCF number.
So the greatest common factor 99702 and 99717 is 3.

Also check out the Least Common Multiple of 99702 and 99717