What is the Greatest Common Factor of 98523 and 98531?

Greatest common factor (GCF) of 98523 and 98531 is 1.

GCF(98523,98531) = 1

We will now calculate the prime factors of 98523 and 98531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98523 and 98531.

How to find the GCF of 98523 and 98531?

We will first find the prime factorization of 98523 and 98531. After we will calculate the factors of 98523 and 98531 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98531

Prime factors of 98531 are 37, 2663. Prime factorization of 98531 in exponential form is:

98531 = 37¹ × 2663¹

Step-3: Factors of 98523

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

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

Step-4: Factors of 98531

List of positive integer factors of 98531 that divides 98523 without a remainder.

1, 37, 2663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98523 and 98531. The biggest common factor number is the GCF number.
So the greatest common factor 98523 and 98531 is 1.

Also check out the Least Common Multiple of 98523 and 98531