What is the Greatest Common Factor of 99723 and 99735?

Greatest common factor (GCF) of 99723 and 99735 is 3.

GCF(99723,99735) = 3

We will now calculate the prime factors of 99723 and 99735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99723 and 99735.

How to find the GCF of 99723 and 99735?

We will first find the prime factorization of 99723 and 99735. After we will calculate the factors of 99723 and 99735 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99735

Prime factors of 99735 are 3, 5, 61, 109. Prime factorization of 99735 in exponential form is:

99735 = 3¹ × 5¹ × 61¹ × 109¹

Step-3: Factors of 99723

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

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

Step-4: Factors of 99735

List of positive integer factors of 99735 that divides 99723 without a remainder.

1, 3, 5, 15, 61, 109, 183, 305, 327, 545, 915, 1635, 6649, 19947, 33245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99723 and 99735. The biggest common factor number is the GCF number.
So the greatest common factor 99723 and 99735 is 3.

Also check out the Least Common Multiple of 99723 and 99735