What is the Greatest Common Factor of 98494 and 98506?

Greatest common factor (GCF) of 98494 and 98506 is 2.

GCF(98494,98506) = 2

We will now calculate the prime factors of 98494 and 98506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98494 and 98506.

How to find the GCF of 98494 and 98506?

We will first find the prime factorization of 98494 and 98506. After we will calculate the factors of 98494 and 98506 and find the biggest common factor number .

Step-1: Prime Factorization of 98494

Prime factors of 98494 are 2, 11, 37. Prime factorization of 98494 in exponential form is:

98494 = 2¹ × 11³ × 37¹

Step-2: Prime Factorization of 98506

Prime factors of 98506 are 2, 49253. Prime factorization of 98506 in exponential form is:

98506 = 2¹ × 49253¹

Step-3: Factors of 98494

List of positive integer factors of 98494 that divides 98494 without a remainder.

1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 1331, 2662, 4477, 8954, 49247

Step-4: Factors of 98506

List of positive integer factors of 98506 that divides 98494 without a remainder.

1, 2, 49253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98494 and 98506. The biggest common factor number is the GCF number.
So the greatest common factor 98494 and 98506 is 2.

Also check out the Least Common Multiple of 98494 and 98506