What is the Greatest Common Factor of 98205 and 98210?

Greatest common factor (GCF) of 98205 and 98210 is 5.

GCF(98205,98210) = 5

We will now calculate the prime factors of 98205 and 98210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98205 and 98210.

How to find the GCF of 98205 and 98210?

We will first find the prime factorization of 98205 and 98210. After we will calculate the factors of 98205 and 98210 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 98210

Prime factors of 98210 are 2, 5, 7, 23, 61. Prime factorization of 98210 in exponential form is:

98210 = 2¹ × 5¹ × 7¹ × 23¹ × 61¹

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 98210

List of positive integer factors of 98210 that divides 98205 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 61, 70, 115, 122, 161, 230, 305, 322, 427, 610, 805, 854, 1403, 1610, 2135, 2806, 4270, 7015, 9821, 14030, 19642, 49105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98205 and 98210. The biggest common factor number is the GCF number.
So the greatest common factor 98205 and 98210 is 5.

Also check out the Least Common Multiple of 98205 and 98210