What is the Greatest Common Factor of 99747 and 99762?

Greatest common factor (GCF) of 99747 and 99762 is 3.

GCF(99747,99762) = 3

We will now calculate the prime factors of 99747 and 99762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99747 and 99762.

How to find the GCF of 99747 and 99762?

We will first find the prime factorization of 99747 and 99762. After we will calculate the factors of 99747 and 99762 and find the biggest common factor number .

Step-1: Prime Factorization of 99747

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

99747 = 3² × 11083¹

Step-2: Prime Factorization of 99762

Prime factors of 99762 are 2, 3, 13, 1279. Prime factorization of 99762 in exponential form is:

99762 = 2¹ × 3¹ × 13¹ × 1279¹

Step-3: Factors of 99747

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

1, 3, 9, 11083, 33249

Step-4: Factors of 99762

List of positive integer factors of 99762 that divides 99747 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1279, 2558, 3837, 7674, 16627, 33254, 49881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99747 and 99762. The biggest common factor number is the GCF number.
So the greatest common factor 99747 and 99762 is 3.

Also check out the Least Common Multiple of 99747 and 99762