What is the Greatest Common Factor of 98325 and 98335?

Greatest common factor (GCF) of 98325 and 98335 is 5.

GCF(98325,98335) = 5

We will now calculate the prime factors of 98325 and 98335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98325 and 98335.

How to find the GCF of 98325 and 98335?

We will first find the prime factorization of 98325 and 98335. After we will calculate the factors of 98325 and 98335 and find the biggest common factor number .

Step-1: Prime Factorization of 98325

Prime factors of 98325 are 3, 5, 19, 23. Prime factorization of 98325 in exponential form is:

98325 = 3² × 5² × 19¹ × 23¹

Step-2: Prime Factorization of 98335

Prime factors of 98335 are 5, 71, 277. Prime factorization of 98335 in exponential form is:

98335 = 5¹ × 71¹ × 277¹

Step-3: Factors of 98325

List of positive integer factors of 98325 that divides 98325 without a remainder.

1, 3, 5, 9, 15, 19, 23, 25, 45, 57, 69, 75, 95, 115, 171, 207, 225, 285, 345, 437, 475, 575, 855, 1035, 1311, 1425, 1725, 2185, 3933, 4275, 5175, 6555, 10925, 19665, 32775

Step-4: Factors of 98335

List of positive integer factors of 98335 that divides 98325 without a remainder.

1, 5, 71, 277, 355, 1385, 19667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98325 and 98335. The biggest common factor number is the GCF number.
So the greatest common factor 98325 and 98335 is 5.

Also check out the Least Common Multiple of 98325 and 98335