What is the Greatest Common Factor of 98226 and 98235?

Greatest common factor (GCF) of 98226 and 98235 is 9.

GCF(98226,98235) = 9

We will now calculate the prime factors of 98226 and 98235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98226 and 98235.

How to find the GCF of 98226 and 98235?

We will first find the prime factorization of 98226 and 98235. After we will calculate the factors of 98226 and 98235 and find the biggest common factor number .

Step-1: Prime Factorization of 98226

Prime factors of 98226 are 2, 3, 17, 107. Prime factorization of 98226 in exponential form is:

98226 = 2¹ × 3³ × 17¹ × 107¹

Step-2: Prime Factorization of 98235

Prime factors of 98235 are 3, 5, 37, 59. Prime factorization of 98235 in exponential form is:

98235 = 3² × 5¹ × 37¹ × 59¹

Step-3: Factors of 98226

List of positive integer factors of 98226 that divides 98226 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 107, 153, 214, 306, 321, 459, 642, 918, 963, 1819, 1926, 2889, 3638, 5457, 5778, 10914, 16371, 32742, 49113

Step-4: Factors of 98235

List of positive integer factors of 98235 that divides 98226 without a remainder.

1, 3, 5, 9, 15, 37, 45, 59, 111, 177, 185, 295, 333, 531, 555, 885, 1665, 2183, 2655, 6549, 10915, 19647, 32745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98226 and 98235. The biggest common factor number is the GCF number.
So the greatest common factor 98226 and 98235 is 9.

Also check out the Least Common Multiple of 98226 and 98235