What is the Greatest Common Factor of 98578 and 98598?

Greatest common factor (GCF) of 98578 and 98598 is 2.

GCF(98578,98598) = 2

We will now calculate the prime factors of 98578 and 98598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98578 and 98598.

How to find the GCF of 98578 and 98598?

We will first find the prime factorization of 98578 and 98598. After we will calculate the factors of 98578 and 98598 and find the biggest common factor number .

Step-1: Prime Factorization of 98578

Prime factors of 98578 are 2, 23, 2143. Prime factorization of 98578 in exponential form is:

98578 = 2¹ × 23¹ × 2143¹

Step-2: Prime Factorization of 98598

Prime factors of 98598 are 2, 3, 16433. Prime factorization of 98598 in exponential form is:

98598 = 2¹ × 3¹ × 16433¹

Step-3: Factors of 98578

List of positive integer factors of 98578 that divides 98578 without a remainder.

1, 2, 23, 46, 2143, 4286, 49289

Step-4: Factors of 98598

List of positive integer factors of 98598 that divides 98578 without a remainder.

1, 2, 3, 6, 16433, 32866, 49299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98578 and 98598. The biggest common factor number is the GCF number.
So the greatest common factor 98578 and 98598 is 2.

Also check out the Least Common Multiple of 98578 and 98598