What is the Greatest Common Factor of 98226 and 98237?

Greatest common factor (GCF) of 98226 and 98237 is 1.

GCF(98226,98237) = 1

We will now calculate the prime factors of 98226 and 98237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98226 and 98237.

How to find the GCF of 98226 and 98237?

We will first find the prime factorization of 98226 and 98237. After we will calculate the factors of 98226 and 98237 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 98237

Prime factors of 98237 are 193, 509. Prime factorization of 98237 in exponential form is:

98237 = 193¹ × 509¹

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 98237

List of positive integer factors of 98237 that divides 98226 without a remainder.

1, 193, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98226 and 98237. The biggest common factor number is the GCF number.
So the greatest common factor 98226 and 98237 is 1.

Also check out the Least Common Multiple of 98226 and 98237