What is the Greatest Common Factor of 98144 and 98158?

Greatest common factor (GCF) of 98144 and 98158 is 2.

GCF(98144,98158) = 2

We will now calculate the prime factors of 98144 and 98158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98144 and 98158.

How to find the GCF of 98144 and 98158?

We will first find the prime factorization of 98144 and 98158. After we will calculate the factors of 98144 and 98158 and find the biggest common factor number .

Step-1: Prime Factorization of 98144

Prime factors of 98144 are 2, 3067. Prime factorization of 98144 in exponential form is:

98144 = 2⁵ × 3067¹

Step-2: Prime Factorization of 98158

Prime factors of 98158 are 2, 17, 2887. Prime factorization of 98158 in exponential form is:

98158 = 2¹ × 17¹ × 2887¹

Step-3: Factors of 98144

List of positive integer factors of 98144 that divides 98144 without a remainder.

1, 2, 4, 8, 16, 32, 3067, 6134, 12268, 24536, 49072

Step-4: Factors of 98158

List of positive integer factors of 98158 that divides 98144 without a remainder.

1, 2, 17, 34, 2887, 5774, 49079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98144 and 98158. The biggest common factor number is the GCF number.
So the greatest common factor 98144 and 98158 is 2.

Also check out the Least Common Multiple of 98144 and 98158