What is the Greatest Common Factor of 99735 and 99746?

Greatest common factor (GCF) of 99735 and 99746 is 1.

GCF(99735,99746) = 1

We will now calculate the prime factors of 99735 and 99746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99735 and 99746.

How to find the GCF of 99735 and 99746?

We will first find the prime factorization of 99735 and 99746. After we will calculate the factors of 99735 and 99746 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 99746

Prime factors of 99746 are 2, 53, 941. Prime factorization of 99746 in exponential form is:

99746 = 2¹ × 53¹ × 941¹

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 99746

List of positive integer factors of 99746 that divides 99735 without a remainder.

1, 2, 53, 106, 941, 1882, 49873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99735 and 99746. The biggest common factor number is the GCF number.
So the greatest common factor 99735 and 99746 is 1.

Also check out the Least Common Multiple of 99735 and 99746