What is the Greatest Common Factor of 98185 and 98205?

Greatest common factor (GCF) of 98185 and 98205 is 5.

GCF(98185,98205) = 5

We will now calculate the prime factors of 98185 and 98205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98185 and 98205.

How to find the GCF of 98185 and 98205?

We will first find the prime factorization of 98185 and 98205. After we will calculate the factors of 98185 and 98205 and find the biggest common factor number .

Step-1: Prime Factorization of 98185

Prime factors of 98185 are 5, 73, 269. Prime factorization of 98185 in exponential form is:

98185 = 5¹ × 73¹ × 269¹

Step-2: 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-3: Factors of 98185

List of positive integer factors of 98185 that divides 98185 without a remainder.

1, 5, 73, 269, 365, 1345, 19637

Step-4: Factors of 98205

List of positive integer factors of 98205 that divides 98185 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98185 and 98205. The biggest common factor number is the GCF number.
So the greatest common factor 98185 and 98205 is 5.

Also check out the Least Common Multiple of 98185 and 98205