What is the Greatest Common Factor of 98584 and 98590?

Greatest common factor (GCF) of 98584 and 98590 is 2.

GCF(98584,98590) = 2

We will now calculate the prime factors of 98584 and 98590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98584 and 98590.

How to find the GCF of 98584 and 98590?

We will first find the prime factorization of 98584 and 98590. After we will calculate the factors of 98584 and 98590 and find the biggest common factor number .

Step-1: Prime Factorization of 98584

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

98584 = 2³ × 12323¹

Step-2: Prime Factorization of 98590

Prime factors of 98590 are 2, 5, 9859. Prime factorization of 98590 in exponential form is:

98590 = 2¹ × 5¹ × 9859¹

Step-3: Factors of 98584

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

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

Step-4: Factors of 98590

List of positive integer factors of 98590 that divides 98584 without a remainder.

1, 2, 5, 10, 9859, 19718, 49295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98584 and 98590. The biggest common factor number is the GCF number.
So the greatest common factor 98584 and 98590 is 2.

Also check out the Least Common Multiple of 98584 and 98590