What is the Greatest Common Factor of 98385 and 98399?

Greatest common factor (GCF) of 98385 and 98399 is 7.

GCF(98385,98399) = 7

We will now calculate the prime factors of 98385 and 98399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98385 and 98399.

How to find the GCF of 98385 and 98399?

We will first find the prime factorization of 98385 and 98399. After we will calculate the factors of 98385 and 98399 and find the biggest common factor number .

Step-1: Prime Factorization of 98385

Prime factors of 98385 are 3, 5, 7, 937. Prime factorization of 98385 in exponential form is:

98385 = 3¹ × 5¹ × 7¹ × 937¹

Step-2: Prime Factorization of 98399

Prime factors of 98399 are 7, 14057. Prime factorization of 98399 in exponential form is:

98399 = 7¹ × 14057¹

Step-3: Factors of 98385

List of positive integer factors of 98385 that divides 98385 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 937, 2811, 4685, 6559, 14055, 19677, 32795

Step-4: Factors of 98399

List of positive integer factors of 98399 that divides 98385 without a remainder.

1, 7, 14057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98385 and 98399. The biggest common factor number is the GCF number.
So the greatest common factor 98385 and 98399 is 7.

Also check out the Least Common Multiple of 98385 and 98399