What is the Greatest Common Factor of 7284 and 7302?

Greatest common factor (GCF) of 7284 and 7302 is 6.

GCF(7284,7302) = 6

We will now calculate the prime factors of 7284 and 7302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7284 and 7302.

How to find the GCF of 7284 and 7302?

We will first find the prime factorization of 7284 and 7302. After we will calculate the factors of 7284 and 7302 and find the biggest common factor number .

Step-1: Prime Factorization of 7284

Prime factors of 7284 are 2, 3, 607. Prime factorization of 7284 in exponential form is:

7284 = 2² × 3¹ × 607¹

Step-2: 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-3: Factors of 7284

List of positive integer factors of 7284 that divides 7284 without a remainder.

1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642

Step-4: Factors of 7302

List of positive integer factors of 7302 that divides 7284 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7284 and 7302. The biggest common factor number is the GCF number.
So the greatest common factor 7284 and 7302 is 6.

Also check out the Least Common Multiple of 7284 and 7302