What is the Greatest Common Factor of 98205 and 98214?

Greatest common factor (GCF) of 98205 and 98214 is 3.

GCF(98205,98214) = 3

We will now calculate the prime factors of 98205 and 98214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98205 and 98214.

How to find the GCF of 98205 and 98214?

We will first find the prime factorization of 98205 and 98214. After we will calculate the factors of 98205 and 98214 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 98214

Prime factors of 98214 are 2, 3, 16369. Prime factorization of 98214 in exponential form is:

98214 = 2¹ × 3¹ × 16369¹

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 98214

List of positive integer factors of 98214 that divides 98205 without a remainder.

1, 2, 3, 6, 16369, 32738, 49107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98205 and 98214. The biggest common factor number is the GCF number.
So the greatest common factor 98205 and 98214 is 3.

Also check out the Least Common Multiple of 98205 and 98214