What is the Greatest Common Factor of 98069 and 98073?

Greatest common factor (GCF) of 98069 and 98073 is 1.

GCF(98069,98073) = 1

We will now calculate the prime factors of 98069 and 98073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98069 and 98073.

How to find the GCF of 98069 and 98073?

We will first find the prime factorization of 98069 and 98073. After we will calculate the factors of 98069 and 98073 and find the biggest common factor number .

Step-1: Prime Factorization of 98069

Prime factors of 98069 are 281, 349. Prime factorization of 98069 in exponential form is:

98069 = 281¹ × 349¹

Step-2: Prime Factorization of 98073

Prime factors of 98073 are 3, 17, 641. Prime factorization of 98073 in exponential form is:

98073 = 3² × 17¹ × 641¹

Step-3: Factors of 98069

List of positive integer factors of 98069 that divides 98069 without a remainder.

1, 281, 349

Step-4: Factors of 98073

List of positive integer factors of 98073 that divides 98069 without a remainder.

1, 3, 9, 17, 51, 153, 641, 1923, 5769, 10897, 32691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98069 and 98073. The biggest common factor number is the GCF number.
So the greatest common factor 98069 and 98073 is 1.

Also check out the Least Common Multiple of 98069 and 98073