What is the Greatest Common Factor of 98230 and 98249?

Greatest common factor (GCF) of 98230 and 98249 is 19.

GCF(98230,98249) = 19

We will now calculate the prime factors of 98230 and 98249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98230 and 98249.

How to find the GCF of 98230 and 98249?

We will first find the prime factorization of 98230 and 98249. After we will calculate the factors of 98230 and 98249 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 98249

Prime factors of 98249 are 19, 5171. Prime factorization of 98249 in exponential form is:

98249 = 19¹ × 5171¹

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 98249

List of positive integer factors of 98249 that divides 98230 without a remainder.

1, 19, 5171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98230 and 98249. The biggest common factor number is the GCF number.
So the greatest common factor 98230 and 98249 is 19.

Also check out the Least Common Multiple of 98230 and 98249