What is the Greatest Common Factor of 98225 and 98230?

Greatest common factor (GCF) of 98225 and 98230 is 5.

GCF(98225,98230) = 5

We will now calculate the prime factors of 98225 and 98230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98225 and 98230.

How to find the GCF of 98225 and 98230?

We will first find the prime factorization of 98225 and 98230. After we will calculate the factors of 98225 and 98230 and find the biggest common factor number .

Step-1: Prime Factorization of 98225

Prime factors of 98225 are 5, 3929. Prime factorization of 98225 in exponential form is:

98225 = 5² × 3929¹

Step-2: 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-3: Factors of 98225

List of positive integer factors of 98225 that divides 98225 without a remainder.

1, 5, 25, 3929, 19645

Step-4: Factors of 98230

List of positive integer factors of 98230 that divides 98225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98225 and 98230. The biggest common factor number is the GCF number.
So the greatest common factor 98225 and 98230 is 5.

Also check out the Least Common Multiple of 98225 and 98230