What is the Greatest Common Factor of 99693 and 99699?

Greatest common factor (GCF) of 99693 and 99699 is 3.

GCF(99693,99699) = 3

We will now calculate the prime factors of 99693 and 99699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99693 and 99699.

How to find the GCF of 99693 and 99699?

We will first find the prime factorization of 99693 and 99699. After we will calculate the factors of 99693 and 99699 and find the biggest common factor number .

Step-1: Prime Factorization of 99693

Prime factors of 99693 are 3, 11, 19, 53. Prime factorization of 99693 in exponential form is:

99693 = 3² × 11¹ × 19¹ × 53¹

Step-2: Prime Factorization of 99699

Prime factors of 99699 are 3, 167, 199. Prime factorization of 99699 in exponential form is:

99699 = 3¹ × 167¹ × 199¹

Step-3: Factors of 99693

List of positive integer factors of 99693 that divides 99693 without a remainder.

1, 3, 9, 11, 19, 33, 53, 57, 99, 159, 171, 209, 477, 583, 627, 1007, 1749, 1881, 3021, 5247, 9063, 11077, 33231

Step-4: Factors of 99699

List of positive integer factors of 99699 that divides 99693 without a remainder.

1, 3, 167, 199, 501, 597, 33233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99693 and 99699. The biggest common factor number is the GCF number.
So the greatest common factor 99693 and 99699 is 3.

Also check out the Least Common Multiple of 99693 and 99699