What is the Greatest Common Factor of 99630 and 99645?

Greatest common factor (GCF) of 99630 and 99645 is 15.

GCF(99630,99645) = 15

We will now calculate the prime factors of 99630 and 99645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99630 and 99645.

How to find the GCF of 99630 and 99645?

We will first find the prime factorization of 99630 and 99645. After we will calculate the factors of 99630 and 99645 and find the biggest common factor number .

Step-1: Prime Factorization of 99630

Prime factors of 99630 are 2, 3, 5, 41. Prime factorization of 99630 in exponential form is:

99630 = 2¹ × 3⁵ × 5¹ × 41¹

Step-2: 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-3: Factors of 99630

List of positive integer factors of 99630 that divides 99630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 81, 82, 90, 123, 135, 162, 205, 243, 246, 270, 369, 405, 410, 486, 615, 738, 810, 1107, 1215, 1230, 1845, 2214, 2430, 3321, 3690, 5535, 6642, 9963, 11070, 16605, 19926, 33210, 49815

Step-4: Factors of 99645

List of positive integer factors of 99645 that divides 99630 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99630 and 99645. The biggest common factor number is the GCF number.
So the greatest common factor 99630 and 99645 is 15.

Also check out the Least Common Multiple of 99630 and 99645