What is the Greatest Common Factor of 99714 and 99723?

Greatest common factor (GCF) of 99714 and 99723 is 3.

GCF(99714,99723) = 3

We will now calculate the prime factors of 99714 and 99723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99714 and 99723.

How to find the GCF of 99714 and 99723?

We will first find the prime factorization of 99714 and 99723. After we will calculate the factors of 99714 and 99723 and find the biggest common factor number .

Step-1: Prime Factorization of 99714

Prime factors of 99714 are 2, 3, 16619. Prime factorization of 99714 in exponential form is:

99714 = 2¹ × 3¹ × 16619¹

Step-2: Prime Factorization of 99723

Prime factors of 99723 are 3, 13, 2557. Prime factorization of 99723 in exponential form is:

99723 = 3¹ × 13¹ × 2557¹

Step-3: Factors of 99714

List of positive integer factors of 99714 that divides 99714 without a remainder.

1, 2, 3, 6, 16619, 33238, 49857

Step-4: Factors of 99723

List of positive integer factors of 99723 that divides 99714 without a remainder.

1, 3, 13, 39, 2557, 7671, 33241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99714 and 99723. The biggest common factor number is the GCF number.
So the greatest common factor 99714 and 99723 is 3.

Also check out the Least Common Multiple of 99714 and 99723