What is the Greatest Common Factor of 98430 and 98445?

Greatest common factor (GCF) of 98430 and 98445 is 15.

GCF(98430,98445) = 15

We will now calculate the prime factors of 98430 and 98445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98430 and 98445.

How to find the GCF of 98430 and 98445?

We will first find the prime factorization of 98430 and 98445. After we will calculate the factors of 98430 and 98445 and find the biggest common factor number .

Step-1: Prime Factorization of 98430

Prime factors of 98430 are 2, 3, 5, 17, 193. Prime factorization of 98430 in exponential form is:

98430 = 2¹ × 3¹ × 5¹ × 17¹ × 193¹

Step-2: Prime Factorization of 98445

Prime factors of 98445 are 3, 5, 6563. Prime factorization of 98445 in exponential form is:

98445 = 3¹ × 5¹ × 6563¹

Step-3: Factors of 98430

List of positive integer factors of 98430 that divides 98430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 193, 255, 386, 510, 579, 965, 1158, 1930, 2895, 3281, 5790, 6562, 9843, 16405, 19686, 32810, 49215

Step-4: Factors of 98445

List of positive integer factors of 98445 that divides 98430 without a remainder.

1, 3, 5, 15, 6563, 19689, 32815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98430 and 98445. The biggest common factor number is the GCF number.
So the greatest common factor 98430 and 98445 is 15.

Also check out the Least Common Multiple of 98430 and 98445