What is the Greatest Common Factor of 98578 and 98596?

Greatest common factor (GCF) of 98578 and 98596 is 2.

GCF(98578,98596) = 2

We will now calculate the prime factors of 98578 and 98596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98578 and 98596.

How to find the GCF of 98578 and 98596?

We will first find the prime factorization of 98578 and 98596. After we will calculate the factors of 98578 and 98596 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 98596

Prime factors of 98596 are 2, 157. Prime factorization of 98596 in exponential form is:

98596 = 2² × 157²

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 98596

List of positive integer factors of 98596 that divides 98578 without a remainder.

1, 2, 4, 157, 314, 628, 24649, 49298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98578 and 98596. The biggest common factor number is the GCF number.
So the greatest common factor 98578 and 98596 is 2.

Also check out the Least Common Multiple of 98578 and 98596