What is the Greatest Common Factor of 98205 and 98211?

Greatest common factor (GCF) of 98205 and 98211 is 3.

GCF(98205,98211) = 3

We will now calculate the prime factors of 98205 and 98211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98205 and 98211.

How to find the GCF of 98205 and 98211?

We will first find the prime factorization of 98205 and 98211. After we will calculate the factors of 98205 and 98211 and find the biggest common factor number .

Step-1: Prime Factorization of 98205

Prime factors of 98205 are 3, 5, 6547. Prime factorization of 98205 in exponential form is:

98205 = 3¹ × 5¹ × 6547¹

Step-2: Prime Factorization of 98211

Prime factors of 98211 are 3, 19, 1723. Prime factorization of 98211 in exponential form is:

98211 = 3¹ × 19¹ × 1723¹

Step-3: Factors of 98205

List of positive integer factors of 98205 that divides 98205 without a remainder.

1, 3, 5, 15, 6547, 19641, 32735

Step-4: Factors of 98211

List of positive integer factors of 98211 that divides 98205 without a remainder.

1, 3, 19, 57, 1723, 5169, 32737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98205 and 98211. The biggest common factor number is the GCF number.
So the greatest common factor 98205 and 98211 is 3.

Also check out the Least Common Multiple of 98205 and 98211