What is the Greatest Common Factor of 99645 and 99660?

Greatest common factor (GCF) of 99645 and 99660 is 15.

GCF(99645,99660) = 15

We will now calculate the prime factors of 99645 and 99660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99645 and 99660.

How to find the GCF of 99645 and 99660?

We will first find the prime factorization of 99645 and 99660. After we will calculate the factors of 99645 and 99660 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 99660

Prime factors of 99660 are 2, 3, 5, 11, 151. Prime factorization of 99660 in exponential form is:

99660 = 2² × 3¹ × 5¹ × 11¹ × 151¹

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 99660

List of positive integer factors of 99660 that divides 99645 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 151, 165, 220, 302, 330, 453, 604, 660, 755, 906, 1510, 1661, 1812, 2265, 3020, 3322, 4530, 4983, 6644, 8305, 9060, 9966, 16610, 19932, 24915, 33220, 49830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99645 and 99660. The biggest common factor number is the GCF number.
So the greatest common factor 99645 and 99660 is 15.

Also check out the Least Common Multiple of 99645 and 99660