What is the Greatest Common Factor of 99645 and 99650?

Greatest common factor (GCF) of 99645 and 99650 is 5.

GCF(99645,99650) = 5

We will now calculate the prime factors of 99645 and 99650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99645 and 99650.

How to find the GCF of 99645 and 99650?

We will first find the prime factorization of 99645 and 99650. After we will calculate the factors of 99645 and 99650 and find the biggest common factor number .

Step-1: Prime Factorization of 99645

Prime factors of 99645 are 3, 5, 7, 13, 73. Prime factorization of 99645 in exponential form is:

99645 = 3¹ × 5¹ × 7¹ × 13¹ × 73¹

Step-2: Prime Factorization of 99650

Prime factors of 99650 are 2, 5, 1993. Prime factorization of 99650 in exponential form is:

99650 = 2¹ × 5² × 1993¹

Step-3: Factors of 99645

List of positive integer factors of 99645 that divides 99645 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 73, 91, 105, 195, 219, 273, 365, 455, 511, 949, 1095, 1365, 1533, 2555, 2847, 4745, 6643, 7665, 14235, 19929, 33215

Step-4: Factors of 99650

List of positive integer factors of 99650 that divides 99645 without a remainder.

1, 2, 5, 10, 25, 50, 1993, 3986, 9965, 19930, 49825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99645 and 99650. The biggest common factor number is the GCF number.
So the greatest common factor 99645 and 99650 is 5.

Also check out the Least Common Multiple of 99645 and 99650