What is the Greatest Common Factor of 98523 and 98540?

Greatest common factor (GCF) of 98523 and 98540 is 1.

GCF(98523,98540) = 1

We will now calculate the prime factors of 98523 and 98540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98523 and 98540.

How to find the GCF of 98523 and 98540?

We will first find the prime factorization of 98523 and 98540. After we will calculate the factors of 98523 and 98540 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 98540

Prime factors of 98540 are 2, 5, 13, 379. Prime factorization of 98540 in exponential form is:

98540 = 2² × 5¹ × 13¹ × 379¹

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 98540

List of positive integer factors of 98540 that divides 98523 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 379, 758, 1516, 1895, 3790, 4927, 7580, 9854, 19708, 24635, 49270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98523 and 98540. The biggest common factor number is the GCF number.
So the greatest common factor 98523 and 98540 is 1.

Also check out the Least Common Multiple of 98523 and 98540