What is the Greatest Common Factor of 99645 and 99657?

Greatest common factor (GCF) of 99645 and 99657 is 3.

GCF(99645,99657) = 3

We will now calculate the prime factors of 99645 and 99657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99645 and 99657.

How to find the GCF of 99645 and 99657?

We will first find the prime factorization of 99645 and 99657. After we will calculate the factors of 99645 and 99657 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 99657

Prime factors of 99657 are 3, 3691. Prime factorization of 99657 in exponential form is:

99657 = 3³ × 3691¹

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 99657

List of positive integer factors of 99657 that divides 99645 without a remainder.

1, 3, 9, 27, 3691, 11073, 33219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99645 and 99657. The biggest common factor number is the GCF number.
So the greatest common factor 99645 and 99657 is 3.

Also check out the Least Common Multiple of 99645 and 99657