What is the Greatest Common Factor of 7298 and 7309?

Greatest common factor (GCF) of 7298 and 7309 is 1.

GCF(7298,7309) = 1

We will now calculate the prime factors of 7298 and 7309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7298 and 7309.

How to find the GCF of 7298 and 7309?

We will first find the prime factorization of 7298 and 7309. After we will calculate the factors of 7298 and 7309 and find the biggest common factor number .

Step-1: Prime Factorization of 7298

Prime factors of 7298 are 2, 41, 89. Prime factorization of 7298 in exponential form is:

7298 = 2¹ × 41¹ × 89¹

Step-2: Prime Factorization of 7309

Prime factors of 7309 are 7309. Prime factorization of 7309 in exponential form is:

7309 = 7309¹

Step-3: Factors of 7298

List of positive integer factors of 7298 that divides 7298 without a remainder.

1, 2, 41, 82, 89, 178, 3649

Step-4: Factors of 7309

List of positive integer factors of 7309 that divides 7298 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7298 and 7309. The biggest common factor number is the GCF number.
So the greatest common factor 7298 and 7309 is 1.

Also check out the Least Common Multiple of 7298 and 7309