What is the Greatest Common Factor of 99690 and 99700?

Greatest common factor (GCF) of 99690 and 99700 is 10.

GCF(99690,99700) = 10

We will now calculate the prime factors of 99690 and 99700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99690 and 99700.

How to find the GCF of 99690 and 99700?

We will first find the prime factorization of 99690 and 99700. After we will calculate the factors of 99690 and 99700 and find the biggest common factor number .

Step-1: Prime Factorization of 99690

Prime factors of 99690 are 2, 3, 5, 3323. Prime factorization of 99690 in exponential form is:

99690 = 2¹ × 3¹ × 5¹ × 3323¹

Step-2: 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-3: Factors of 99690

List of positive integer factors of 99690 that divides 99690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3323, 6646, 9969, 16615, 19938, 33230, 49845

Step-4: Factors of 99700

List of positive integer factors of 99700 that divides 99690 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99690 and 99700. The biggest common factor number is the GCF number.
So the greatest common factor 99690 and 99700 is 10.

Also check out the Least Common Multiple of 99690 and 99700