What is the Greatest Common Factor of 98144 and 98159?

Greatest common factor (GCF) of 98144 and 98159 is 1.

GCF(98144,98159) = 1

We will now calculate the prime factors of 98144 and 98159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98144 and 98159.

How to find the GCF of 98144 and 98159?

We will first find the prime factorization of 98144 and 98159. After we will calculate the factors of 98144 and 98159 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 98159

Prime factors of 98159 are 103, 953. Prime factorization of 98159 in exponential form is:

98159 = 103¹ × 953¹

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 98159

List of positive integer factors of 98159 that divides 98144 without a remainder.

1, 103, 953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98144 and 98159. The biggest common factor number is the GCF number.
So the greatest common factor 98144 and 98159 is 1.

Also check out the Least Common Multiple of 98144 and 98159