What is the Greatest Common Factor of 99744 and 99759?

Greatest common factor (GCF) of 99744 and 99759 is 3.

GCF(99744,99759) = 3

We will now calculate the prime factors of 99744 and 99759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99744 and 99759.

How to find the GCF of 99744 and 99759?

We will first find the prime factorization of 99744 and 99759. After we will calculate the factors of 99744 and 99759 and find the biggest common factor number .

Step-1: Prime Factorization of 99744

Prime factors of 99744 are 2, 3, 1039. Prime factorization of 99744 in exponential form is:

99744 = 2⁵ × 3¹ × 1039¹

Step-2: 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-3: Factors of 99744

List of positive integer factors of 99744 that divides 99744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1039, 2078, 3117, 4156, 6234, 8312, 12468, 16624, 24936, 33248, 49872

Step-4: Factors of 99759

List of positive integer factors of 99759 that divides 99744 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99744 and 99759. The biggest common factor number is the GCF number.
So the greatest common factor 99744 and 99759 is 3.

Also check out the Least Common Multiple of 99744 and 99759