What is the Greatest Common Factor of 99759 and 99771?

Greatest common factor (GCF) of 99759 and 99771 is 3.

GCF(99759,99771) = 3

We will now calculate the prime factors of 99759 and 99771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99759 and 99771.

How to find the GCF of 99759 and 99771?

We will first find the prime factorization of 99759 and 99771. After we will calculate the factors of 99759 and 99771 and find the biggest common factor number .

Step-1: Prime Factorization of 99759

Prime factors of 99759 are 3, 11, 3023. Prime factorization of 99759 in exponential form is:

99759 = 3¹ × 11¹ × 3023¹

Step-2: Prime Factorization of 99771

Prime factors of 99771 are 3, 7, 4751. Prime factorization of 99771 in exponential form is:

99771 = 3¹ × 7¹ × 4751¹

Step-3: Factors of 99759

List of positive integer factors of 99759 that divides 99759 without a remainder.

1, 3, 11, 33, 3023, 9069, 33253

Step-4: Factors of 99771

List of positive integer factors of 99771 that divides 99759 without a remainder.

1, 3, 7, 21, 4751, 14253, 33257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99759 and 99771. The biggest common factor number is the GCF number.
So the greatest common factor 99759 and 99771 is 3.

Also check out the Least Common Multiple of 99759 and 99771