What is the Greatest Common Factor of 98814 and 98829?

Greatest common factor (GCF) of 98814 and 98829 is 3.

GCF(98814,98829) = 3

We will now calculate the prime factors of 98814 and 98829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98814 and 98829.

How to find the GCF of 98814 and 98829?

We will first find the prime factorization of 98814 and 98829. After we will calculate the factors of 98814 and 98829 and find the biggest common factor number .

Step-1: Prime Factorization of 98814

Prime factors of 98814 are 2, 3, 43, 383. Prime factorization of 98814 in exponential form is:

98814 = 2¹ × 3¹ × 43¹ × 383¹

Step-2: Prime Factorization of 98829

Prime factors of 98829 are 3, 79, 139. Prime factorization of 98829 in exponential form is:

98829 = 3² × 79¹ × 139¹

Step-3: Factors of 98814

List of positive integer factors of 98814 that divides 98814 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 383, 766, 1149, 2298, 16469, 32938, 49407

Step-4: Factors of 98829

List of positive integer factors of 98829 that divides 98814 without a remainder.

1, 3, 9, 79, 139, 237, 417, 711, 1251, 10981, 32943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98814 and 98829. The biggest common factor number is the GCF number.
So the greatest common factor 98814 and 98829 is 3.

Also check out the Least Common Multiple of 98814 and 98829