What is the Greatest Common Factor of 98595 and 98613?

Greatest common factor (GCF) of 98595 and 98613 is 9.

GCF(98595,98613) = 9

We will now calculate the prime factors of 98595 and 98613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98595 and 98613.

How to find the GCF of 98595 and 98613?

We will first find the prime factorization of 98595 and 98613. After we will calculate the factors of 98595 and 98613 and find the biggest common factor number .

Step-1: Prime Factorization of 98595

Prime factors of 98595 are 3, 5, 7, 313. Prime factorization of 98595 in exponential form is:

98595 = 3² × 5¹ × 7¹ × 313¹

Step-2: Prime Factorization of 98613

Prime factors of 98613 are 3, 10957. Prime factorization of 98613 in exponential form is:

98613 = 3² × 10957¹

Step-3: Factors of 98595

List of positive integer factors of 98595 that divides 98595 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 313, 315, 939, 1565, 2191, 2817, 4695, 6573, 10955, 14085, 19719, 32865

Step-4: Factors of 98613

List of positive integer factors of 98613 that divides 98595 without a remainder.

1, 3, 9, 10957, 32871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98595 and 98613. The biggest common factor number is the GCF number.
So the greatest common factor 98595 and 98613 is 9.

Also check out the Least Common Multiple of 98595 and 98613