What is the Greatest Common Factor of 99741 and 99747?

Greatest common factor (GCF) of 99741 and 99747 is 3.

GCF(99741,99747) = 3

We will now calculate the prime factors of 99741 and 99747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99741 and 99747.

How to find the GCF of 99741 and 99747?

We will first find the prime factorization of 99741 and 99747. After we will calculate the factors of 99741 and 99747 and find the biggest common factor number .

Step-1: Prime Factorization of 99741

Prime factors of 99741 are 3, 33247. Prime factorization of 99741 in exponential form is:

99741 = 3¹ × 33247¹

Step-2: Prime Factorization of 99747

Prime factors of 99747 are 3, 11083. Prime factorization of 99747 in exponential form is:

99747 = 3² × 11083¹

Step-3: Factors of 99741

List of positive integer factors of 99741 that divides 99741 without a remainder.

1, 3, 33247

Step-4: Factors of 99747

List of positive integer factors of 99747 that divides 99741 without a remainder.

1, 3, 9, 11083, 33249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99741 and 99747. The biggest common factor number is the GCF number.
So the greatest common factor 99741 and 99747 is 3.

Also check out the Least Common Multiple of 99741 and 99747