What is the Greatest Common Factor of 98205 and 98220?

Greatest common factor (GCF) of 98205 and 98220 is 15.

GCF(98205,98220) = 15

We will now calculate the prime factors of 98205 and 98220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98205 and 98220.

How to find the GCF of 98205 and 98220?

We will first find the prime factorization of 98205 and 98220. After we will calculate the factors of 98205 and 98220 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 98220

Prime factors of 98220 are 2, 3, 5, 1637. Prime factorization of 98220 in exponential form is:

98220 = 2² × 3¹ × 5¹ × 1637¹

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 98220

List of positive integer factors of 98220 that divides 98205 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1637, 3274, 4911, 6548, 8185, 9822, 16370, 19644, 24555, 32740, 49110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98205 and 98220. The biggest common factor number is the GCF number.
So the greatest common factor 98205 and 98220 is 15.

Also check out the Least Common Multiple of 98205 and 98220