What is the Greatest Common Factor of 98506 and 98523?

Greatest common factor (GCF) of 98506 and 98523 is 1.

GCF(98506,98523) = 1

We will now calculate the prime factors of 98506 and 98523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98506 and 98523.

How to find the GCF of 98506 and 98523?

We will first find the prime factorization of 98506 and 98523. After we will calculate the factors of 98506 and 98523 and find the biggest common factor number .

Step-1: Prime Factorization of 98506

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

98506 = 2¹ × 49253¹

Step-2: Prime Factorization of 98523

Prime factors of 98523 are 3, 41, 89. Prime factorization of 98523 in exponential form is:

98523 = 3³ × 41¹ × 89¹

Step-3: Factors of 98506

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

1, 2, 49253

Step-4: Factors of 98523

List of positive integer factors of 98523 that divides 98506 without a remainder.

1, 3, 9, 27, 41, 89, 123, 267, 369, 801, 1107, 2403, 3649, 10947, 32841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98506 and 98523. The biggest common factor number is the GCF number.
So the greatest common factor 98506 and 98523 is 1.

Also check out the Least Common Multiple of 98506 and 98523