What is the Greatest Common Factor of 7300 and 7306?

Greatest common factor (GCF) of 7300 and 7306 is 2.

GCF(7300,7306) = 2

We will now calculate the prime factors of 7300 and 7306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7300 and 7306.

How to find the GCF of 7300 and 7306?

We will first find the prime factorization of 7300 and 7306. After we will calculate the factors of 7300 and 7306 and find the biggest common factor number .

Step-1: Prime Factorization of 7300

Prime factors of 7300 are 2, 5, 73. Prime factorization of 7300 in exponential form is:

7300 = 2² × 5² × 73¹

Step-2: Prime Factorization of 7306

Prime factors of 7306 are 2, 13, 281. Prime factorization of 7306 in exponential form is:

7306 = 2¹ × 13¹ × 281¹

Step-3: Factors of 7300

List of positive integer factors of 7300 that divides 7300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650

Step-4: Factors of 7306

List of positive integer factors of 7306 that divides 7300 without a remainder.

1, 2, 13, 26, 281, 562, 3653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7300 and 7306. The biggest common factor number is the GCF number.
So the greatest common factor 7300 and 7306 is 2.

Also check out the Least Common Multiple of 7300 and 7306