What is the Greatest Common Factor of 99702 and 99707?

Greatest common factor (GCF) of 99702 and 99707 is 1.

GCF(99702,99707) = 1

We will now calculate the prime factors of 99702 and 99707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99702 and 99707.

How to find the GCF of 99702 and 99707?

We will first find the prime factorization of 99702 and 99707. After we will calculate the factors of 99702 and 99707 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 99707

Prime factors of 99707 are 99707. Prime factorization of 99707 in exponential form is:

99707 = 99707¹

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 99707

List of positive integer factors of 99707 that divides 99702 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99702 and 99707. The biggest common factor number is the GCF number.
So the greatest common factor 99702 and 99707 is 1.

Also check out the Least Common Multiple of 99702 and 99707