What is the Greatest Common Factor of 98421 and 98433?

Greatest common factor (GCF) of 98421 and 98433 is 3.

GCF(98421,98433) = 3

We will now calculate the prime factors of 98421 and 98433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98421 and 98433.

How to find the GCF of 98421 and 98433?

We will first find the prime factorization of 98421 and 98433. After we will calculate the factors of 98421 and 98433 and find the biggest common factor number .

Step-1: Prime Factorization of 98421

Prime factors of 98421 are 3, 53, 619. Prime factorization of 98421 in exponential form is:

98421 = 3¹ × 53¹ × 619¹

Step-2: Prime Factorization of 98433

Prime factors of 98433 are 3, 10937. Prime factorization of 98433 in exponential form is:

98433 = 3² × 10937¹

Step-3: Factors of 98421

List of positive integer factors of 98421 that divides 98421 without a remainder.

1, 3, 53, 159, 619, 1857, 32807

Step-4: Factors of 98433

List of positive integer factors of 98433 that divides 98421 without a remainder.

1, 3, 9, 10937, 32811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98421 and 98433. The biggest common factor number is the GCF number.
So the greatest common factor 98421 and 98433 is 3.

Also check out the Least Common Multiple of 98421 and 98433