What is the Greatest Common Factor of 98174 and 98188?

Greatest common factor (GCF) of 98174 and 98188 is 2.

GCF(98174,98188) = 2

We will now calculate the prime factors of 98174 and 98188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98174 and 98188.

How to find the GCF of 98174 and 98188?

We will first find the prime factorization of 98174 and 98188. After we will calculate the factors of 98174 and 98188 and find the biggest common factor number .

Step-1: Prime Factorization of 98174

Prime factors of 98174 are 2, 191, 257. Prime factorization of 98174 in exponential form is:

98174 = 2¹ × 191¹ × 257¹

Step-2: Prime Factorization of 98188

Prime factors of 98188 are 2, 24547. Prime factorization of 98188 in exponential form is:

98188 = 2² × 24547¹

Step-3: Factors of 98174

List of positive integer factors of 98174 that divides 98174 without a remainder.

1, 2, 191, 257, 382, 514, 49087

Step-4: Factors of 98188

List of positive integer factors of 98188 that divides 98174 without a remainder.

1, 2, 4, 24547, 49094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98174 and 98188. The biggest common factor number is the GCF number.
So the greatest common factor 98174 and 98188 is 2.

Also check out the Least Common Multiple of 98174 and 98188