What is the Greatest Common Factor of 7240 and 7245?

Greatest common factor (GCF) of 7240 and 7245 is 5.

GCF(7240,7245) = 5

We will now calculate the prime factors of 7240 and 7245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7240 and 7245.

How to find the GCF of 7240 and 7245?

We will first find the prime factorization of 7240 and 7245. After we will calculate the factors of 7240 and 7245 and find the biggest common factor number .

Step-1: Prime Factorization of 7240

Prime factors of 7240 are 2, 5, 181. Prime factorization of 7240 in exponential form is:

7240 = 2³ × 5¹ × 181¹

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 7240

List of positive integer factors of 7240 that divides 7240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620

Step-4: Factors of 7245

List of positive integer factors of 7245 that divides 7240 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 7240 and 7245. The biggest common factor number is the GCF number.
So the greatest common factor 7240 and 7245 is 5.

Also check out the Least Common Multiple of 7240 and 7245