What is the Greatest Common Factor of 98230 and 98248?

Greatest common factor (GCF) of 98230 and 98248 is 2.

GCF(98230,98248) = 2

We will now calculate the prime factors of 98230 and 98248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98230 and 98248.

How to find the GCF of 98230 and 98248?

We will first find the prime factorization of 98230 and 98248. After we will calculate the factors of 98230 and 98248 and find the biggest common factor number .

Step-1: Prime Factorization of 98230

Prime factors of 98230 are 2, 5, 11, 19, 47. Prime factorization of 98230 in exponential form is:

98230 = 2¹ × 5¹ × 11¹ × 19¹ × 47¹

Step-2: Prime Factorization of 98248

Prime factors of 98248 are 2, 12281. Prime factorization of 98248 in exponential form is:

98248 = 2³ × 12281¹

Step-3: Factors of 98230

List of positive integer factors of 98230 that divides 98230 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 47, 55, 94, 95, 110, 190, 209, 235, 418, 470, 517, 893, 1034, 1045, 1786, 2090, 2585, 4465, 5170, 8930, 9823, 19646, 49115

Step-4: Factors of 98248

List of positive integer factors of 98248 that divides 98230 without a remainder.

1, 2, 4, 8, 12281, 24562, 49124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98230 and 98248. The biggest common factor number is the GCF number.
So the greatest common factor 98230 and 98248 is 2.

Also check out the Least Common Multiple of 98230 and 98248