What is the Greatest Common Factor of 98501 and 98509?

Greatest common factor (GCF) of 98501 and 98509 is 1.

GCF(98501,98509) = 1

We will now calculate the prime factors of 98501 and 98509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98501 and 98509.

How to find the GCF of 98501 and 98509?

We will first find the prime factorization of 98501 and 98509. After we will calculate the factors of 98501 and 98509 and find the biggest common factor number .

Step-1: Prime Factorization of 98501

Prime factors of 98501 are 13, 7577. Prime factorization of 98501 in exponential form is:

98501 = 13¹ × 7577¹

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 98501

List of positive integer factors of 98501 that divides 98501 without a remainder.

1, 13, 7577

Step-4: Factors of 98509

List of positive integer factors of 98509 that divides 98501 without a remainder.

1, 23, 4283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98501 and 98509. The biggest common factor number is the GCF number.
So the greatest common factor 98501 and 98509 is 1.

Also check out the Least Common Multiple of 98501 and 98509