What is the Greatest Common Factor of 7230 and 7245?

Greatest common factor (GCF) of 7230 and 7245 is 15.

GCF(7230,7245) = 15

We will now calculate the prime factors of 7230 and 7245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7230 and 7245.

How to find the GCF of 7230 and 7245?

We will first find the prime factorization of 7230 and 7245. After we will calculate the factors of 7230 and 7245 and find the biggest common factor number .

Step-1: Prime Factorization of 7230

Prime factors of 7230 are 2, 3, 5, 241. Prime factorization of 7230 in exponential form is:

7230 = 2¹ × 3¹ × 5¹ × 241¹

Step-2: Prime Factorization of 7245

Prime factors of 7245 are 3, 5, 7, 23. Prime factorization of 7245 in exponential form is:

7245 = 3² × 5¹ × 7¹ × 23¹

Step-3: Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615

Step-4: Factors of 7245

List of positive integer factors of 7245 that divides 7230 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7230 and 7245. The biggest common factor number is the GCF number.
So the greatest common factor 7230 and 7245 is 15.

Also check out the Least Common Multiple of 7230 and 7245