What is the Greatest Common Factor of 99700 and 99715?

Greatest common factor (GCF) of 99700 and 99715 is 5.

GCF(99700,99715) = 5

We will now calculate the prime factors of 99700 and 99715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99700 and 99715.

How to find the GCF of 99700 and 99715?

We will first find the prime factorization of 99700 and 99715. After we will calculate the factors of 99700 and 99715 and find the biggest common factor number .

Step-1: Prime Factorization of 99700

Prime factors of 99700 are 2, 5, 997. Prime factorization of 99700 in exponential form is:

99700 = 2² × 5² × 997¹

Step-2: Prime Factorization of 99715

Prime factors of 99715 are 5, 7, 11, 37. Prime factorization of 99715 in exponential form is:

99715 = 5¹ × 7² × 11¹ × 37¹

Step-3: Factors of 99700

List of positive integer factors of 99700 that divides 99700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 997, 1994, 3988, 4985, 9970, 19940, 24925, 49850

Step-4: Factors of 99715

List of positive integer factors of 99715 that divides 99700 without a remainder.

1, 5, 7, 11, 35, 37, 49, 55, 77, 185, 245, 259, 385, 407, 539, 1295, 1813, 2035, 2695, 2849, 9065, 14245, 19943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99700 and 99715. The biggest common factor number is the GCF number.
So the greatest common factor 99700 and 99715 is 5.

Also check out the Least Common Multiple of 99700 and 99715