What is the Greatest Common Factor of 98230 and 98240?

Greatest common factor (GCF) of 98230 and 98240 is 10.

GCF(98230,98240) = 10

We will now calculate the prime factors of 98230 and 98240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98230 and 98240.

How to find the GCF of 98230 and 98240?

We will first find the prime factorization of 98230 and 98240. After we will calculate the factors of 98230 and 98240 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 98240

Prime factors of 98240 are 2, 5, 307. Prime factorization of 98240 in exponential form is:

98240 = 2⁶ × 5¹ × 307¹

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 98240

List of positive integer factors of 98240 that divides 98230 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 307, 320, 614, 1228, 1535, 2456, 3070, 4912, 6140, 9824, 12280, 19648, 24560, 49120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98230 and 98240. The biggest common factor number is the GCF number.
So the greatest common factor 98230 and 98240 is 10.

Also check out the Least Common Multiple of 98230 and 98240