What is the Greatest Common Factor of 98325 and 98336?

Greatest common factor (GCF) of 98325 and 98336 is 1.

GCF(98325,98336) = 1

We will now calculate the prime factors of 98325 and 98336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98325 and 98336.

How to find the GCF of 98325 and 98336?

We will first find the prime factorization of 98325 and 98336. After we will calculate the factors of 98325 and 98336 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 98336

Prime factors of 98336 are 2, 7, 439. Prime factorization of 98336 in exponential form is:

98336 = 2⁵ × 7¹ × 439¹

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 98336

List of positive integer factors of 98336 that divides 98325 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 439, 878, 1756, 3073, 3512, 6146, 7024, 12292, 14048, 24584, 49168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98325 and 98336. The biggest common factor number is the GCF number.
So the greatest common factor 98325 and 98336 is 1.

Also check out the Least Common Multiple of 98325 and 98336