What is the Greatest Common Factor of 99735 and 99749?

Greatest common factor (GCF) of 99735 and 99749 is 1.

GCF(99735,99749) = 1

We will now calculate the prime factors of 99735 and 99749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99735 and 99749.

How to find the GCF of 99735 and 99749?

We will first find the prime factorization of 99735 and 99749. After we will calculate the factors of 99735 and 99749 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99749

Prime factors of 99749 are 13, 7673. Prime factorization of 99749 in exponential form is:

99749 = 13¹ × 7673¹

Step-3: Factors of 99735

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

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

Step-4: Factors of 99749

List of positive integer factors of 99749 that divides 99735 without a remainder.

1, 13, 7673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99735 and 99749. The biggest common factor number is the GCF number.
So the greatest common factor 99735 and 99749 is 1.

Also check out the Least Common Multiple of 99735 and 99749