What is the Greatest Common Factor of 7302 and 7306?

Greatest common factor (GCF) of 7302 and 7306 is 2.

GCF(7302,7306) = 2

We will now calculate the prime factors of 7302 and 7306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7302 and 7306.

How to find the GCF of 7302 and 7306?

We will first find the prime factorization of 7302 and 7306. After we will calculate the factors of 7302 and 7306 and find the biggest common factor number .

Step-1: Prime Factorization of 7302

Prime factors of 7302 are 2, 3, 1217. Prime factorization of 7302 in exponential form is:

7302 = 2¹ × 3¹ × 1217¹

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 7302

List of positive integer factors of 7302 that divides 7302 without a remainder.

1, 2, 3, 6, 1217, 2434, 3651

Step-4: Factors of 7306

List of positive integer factors of 7306 that divides 7302 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7302 and 7306. The biggest common factor number is the GCF number.
So the greatest common factor 7302 and 7306 is 2.

Also check out the Least Common Multiple of 7302 and 7306