What is the Greatest Common Factor of 98156 and 98174?

Greatest common factor (GCF) of 98156 and 98174 is 2.

GCF(98156,98174) = 2

We will now calculate the prime factors of 98156 and 98174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98156 and 98174.

How to find the GCF of 98156 and 98174?

We will first find the prime factorization of 98156 and 98174. After we will calculate the factors of 98156 and 98174 and find the biggest common factor number .

Step-1: Prime Factorization of 98156

Prime factors of 98156 are 2, 53, 463. Prime factorization of 98156 in exponential form is:

98156 = 2² × 53¹ × 463¹

Step-2: 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-3: Factors of 98156

List of positive integer factors of 98156 that divides 98156 without a remainder.

1, 2, 4, 53, 106, 212, 463, 926, 1852, 24539, 49078

Step-4: Factors of 98174

List of positive integer factors of 98174 that divides 98156 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98156 and 98174. The biggest common factor number is the GCF number.
So the greatest common factor 98156 and 98174 is 2.

Also check out the Least Common Multiple of 98156 and 98174