What is the Greatest Common Factor of 99735 and 99740?

Greatest common factor (GCF) of 99735 and 99740 is 5.

GCF(99735,99740) = 5

We will now calculate the prime factors of 99735 and 99740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99735 and 99740.

How to find the GCF of 99735 and 99740?

We will first find the prime factorization of 99735 and 99740. After we will calculate the factors of 99735 and 99740 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 99740

Prime factors of 99740 are 2, 5, 4987. Prime factorization of 99740 in exponential form is:

99740 = 2² × 5¹ × 4987¹

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 99740

List of positive integer factors of 99740 that divides 99735 without a remainder.

1, 2, 4, 5, 10, 20, 4987, 9974, 19948, 24935, 49870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99735 and 99740. The biggest common factor number is the GCF number.
So the greatest common factor 99735 and 99740 is 5.

Also check out the Least Common Multiple of 99735 and 99740