What is the Greatest Common Factor of 98329 and 98333?

Greatest common factor (GCF) of 98329 and 98333 is 1.

GCF(98329,98333) = 1

We will now calculate the prime factors of 98329 and 98333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98329 and 98333.

How to find the GCF of 98329 and 98333?

We will first find the prime factorization of 98329 and 98333. After we will calculate the factors of 98329 and 98333 and find the biggest common factor number .

Step-1: Prime Factorization of 98329

Prime factors of 98329 are 7, 11, 1277. Prime factorization of 98329 in exponential form is:

98329 = 7¹ × 11¹ × 1277¹

Step-2: Prime Factorization of 98333

Prime factors of 98333 are 107, 919. Prime factorization of 98333 in exponential form is:

98333 = 107¹ × 919¹

Step-3: Factors of 98329

List of positive integer factors of 98329 that divides 98329 without a remainder.

1, 7, 11, 77, 1277, 8939, 14047

Step-4: Factors of 98333

List of positive integer factors of 98333 that divides 98329 without a remainder.

1, 107, 919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98329 and 98333. The biggest common factor number is the GCF number.
So the greatest common factor 98329 and 98333 is 1.

Also check out the Least Common Multiple of 98329 and 98333