What is the Greatest Common Factor of 98226 and 98243?

Greatest common factor (GCF) of 98226 and 98243 is 17.

GCF(98226,98243) = 17

We will now calculate the prime factors of 98226 and 98243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98226 and 98243.

How to find the GCF of 98226 and 98243?

We will first find the prime factorization of 98226 and 98243. After we will calculate the factors of 98226 and 98243 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 98243

Prime factors of 98243 are 17, 5779. Prime factorization of 98243 in exponential form is:

98243 = 17¹ × 5779¹

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 98243

List of positive integer factors of 98243 that divides 98226 without a remainder.

1, 17, 5779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98226 and 98243. The biggest common factor number is the GCF number.
So the greatest common factor 98226 and 98243 is 17.

Also check out the Least Common Multiple of 98226 and 98243