What is the Greatest Common Factor of 98831 and 98848?

Greatest common factor (GCF) of 98831 and 98848 is 1.

GCF(98831,98848) = 1

We will now calculate the prime factors of 98831 and 98848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98831 and 98848.

How to find the GCF of 98831 and 98848?

We will first find the prime factorization of 98831 and 98848. After we will calculate the factors of 98831 and 98848 and find the biggest common factor number .

Step-1: Prime Factorization of 98831

Prime factors of 98831 are 23, 4297. Prime factorization of 98831 in exponential form is:

98831 = 23¹ × 4297¹

Step-2: Prime Factorization of 98848

Prime factors of 98848 are 2, 3089. Prime factorization of 98848 in exponential form is:

98848 = 2⁵ × 3089¹

Step-3: Factors of 98831

List of positive integer factors of 98831 that divides 98831 without a remainder.

1, 23, 4297

Step-4: Factors of 98848

List of positive integer factors of 98848 that divides 98831 without a remainder.

1, 2, 4, 8, 16, 32, 3089, 6178, 12356, 24712, 49424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98831 and 98848. The biggest common factor number is the GCF number.
So the greatest common factor 98831 and 98848 is 1.

Also check out the Least Common Multiple of 98831 and 98848