What is the Greatest Common Factor of 98430 and 98439?

Greatest common factor (GCF) of 98430 and 98439 is 3.

GCF(98430,98439) = 3

We will now calculate the prime factors of 98430 and 98439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98430 and 98439.

How to find the GCF of 98430 and 98439?

We will first find the prime factorization of 98430 and 98439. After we will calculate the factors of 98430 and 98439 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 98439

Prime factors of 98439 are 3, 11, 19, 157. Prime factorization of 98439 in exponential form is:

98439 = 3¹ × 11¹ × 19¹ × 157¹

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 98439

List of positive integer factors of 98439 that divides 98430 without a remainder.

1, 3, 11, 19, 33, 57, 157, 209, 471, 627, 1727, 2983, 5181, 8949, 32813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98430 and 98439. The biggest common factor number is the GCF number.
So the greatest common factor 98430 and 98439 is 3.

Also check out the Least Common Multiple of 98430 and 98439