What is the Greatest Common Factor of 98526 and 98541?

Greatest common factor (GCF) of 98526 and 98541 is 3.

GCF(98526,98541) = 3

We will now calculate the prime factors of 98526 and 98541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98526 and 98541.

How to find the GCF of 98526 and 98541?

We will first find the prime factorization of 98526 and 98541. After we will calculate the factors of 98526 and 98541 and find the biggest common factor number .

Step-1: Prime Factorization of 98526

Prime factors of 98526 are 2, 3, 16421. Prime factorization of 98526 in exponential form is:

98526 = 2¹ × 3¹ × 16421¹

Step-2: Prime Factorization of 98541

Prime factors of 98541 are 3, 10949. Prime factorization of 98541 in exponential form is:

98541 = 3² × 10949¹

Step-3: Factors of 98526

List of positive integer factors of 98526 that divides 98526 without a remainder.

1, 2, 3, 6, 16421, 32842, 49263

Step-4: Factors of 98541

List of positive integer factors of 98541 that divides 98526 without a remainder.

1, 3, 9, 10949, 32847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98526 and 98541. The biggest common factor number is the GCF number.
So the greatest common factor 98526 and 98541 is 3.

Also check out the Least Common Multiple of 98526 and 98541