What is the Greatest Common Factor of 99693 and 99704?

Greatest common factor (GCF) of 99693 and 99704 is 11.

GCF(99693,99704) = 11

We will now calculate the prime factors of 99693 and 99704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99693 and 99704.

How to find the GCF of 99693 and 99704?

We will first find the prime factorization of 99693 and 99704. After we will calculate the factors of 99693 and 99704 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 99704

Prime factors of 99704 are 2, 11, 103. Prime factorization of 99704 in exponential form is:

99704 = 2³ × 11² × 103¹

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 99704

List of positive integer factors of 99704 that divides 99693 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 103, 121, 206, 242, 412, 484, 824, 968, 1133, 2266, 4532, 9064, 12463, 24926, 49852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99693 and 99704. The biggest common factor number is the GCF number.
So the greatest common factor 99693 and 99704 is 11.

Also check out the Least Common Multiple of 99693 and 99704