What is the Greatest Common Factor of 99702 and 99718?

Greatest common factor (GCF) of 99702 and 99718 is 2.

GCF(99702,99718) = 2

We will now calculate the prime factors of 99702 and 99718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99702 and 99718.

How to find the GCF of 99702 and 99718?

We will first find the prime factorization of 99702 and 99718. After we will calculate the factors of 99702 and 99718 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 99718

Prime factors of 99718 are 2, 73, 683. Prime factorization of 99718 in exponential form is:

99718 = 2¹ × 73¹ × 683¹

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 99718

List of positive integer factors of 99718 that divides 99702 without a remainder.

1, 2, 73, 146, 683, 1366, 49859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99702 and 99718. The biggest common factor number is the GCF number.
So the greatest common factor 99702 and 99718 is 2.

Also check out the Least Common Multiple of 99702 and 99718