What is the Greatest Common Factor of 98569 and 98584?

Greatest common factor (GCF) of 98569 and 98584 is 1.

GCF(98569,98584) = 1

We will now calculate the prime factors of 98569 and 98584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98569 and 98584.

How to find the GCF of 98569 and 98584?

We will first find the prime factorization of 98569 and 98584. After we will calculate the factors of 98569 and 98584 and find the biggest common factor number .

Step-1: Prime Factorization of 98569

Prime factors of 98569 are 241, 409. Prime factorization of 98569 in exponential form is:

98569 = 241¹ × 409¹

Step-2: Prime Factorization of 98584

Prime factors of 98584 are 2, 12323. Prime factorization of 98584 in exponential form is:

98584 = 2³ × 12323¹

Step-3: Factors of 98569

List of positive integer factors of 98569 that divides 98569 without a remainder.

1, 241, 409

Step-4: Factors of 98584

List of positive integer factors of 98584 that divides 98569 without a remainder.

1, 2, 4, 8, 12323, 24646, 49292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98569 and 98584. The biggest common factor number is the GCF number.
So the greatest common factor 98569 and 98584 is 1.

Also check out the Least Common Multiple of 98569 and 98584