What is the Greatest Common Factor of 98493 and 98509?

Greatest common factor (GCF) of 98493 and 98509 is 1.

GCF(98493,98509) = 1

We will now calculate the prime factors of 98493 and 98509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98493 and 98509.

How to find the GCF of 98493 and 98509?

We will first find the prime factorization of 98493 and 98509. After we will calculate the factors of 98493 and 98509 and find the biggest common factor number .

Step-1: Prime Factorization of 98493

Prime factors of 98493 are 3, 32831. Prime factorization of 98493 in exponential form is:

98493 = 3¹ × 32831¹

Step-2: Prime Factorization of 98509

Prime factors of 98509 are 23, 4283. Prime factorization of 98509 in exponential form is:

98509 = 23¹ × 4283¹

Step-3: Factors of 98493

List of positive integer factors of 98493 that divides 98493 without a remainder.

1, 3, 32831

Step-4: Factors of 98509

List of positive integer factors of 98509 that divides 98493 without a remainder.

1, 23, 4283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98493 and 98509. The biggest common factor number is the GCF number.
So the greatest common factor 98493 and 98509 is 1.

Also check out the Least Common Multiple of 98493 and 98509