Greatest Common Factor of 7240 and 7245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7240, 7245 i.e. 5 largest integer by which both the numbers can be divided.

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

GCF(7240,7245) = 5

GCF of 7240 and 7245

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7240 and 7245

GCF of 7240 and 7245 is 5

Prime Factorization of 7240


2 7240
2 3620
2 1810
5 905
181 181
1

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

7240 = 23×51×1811

Prime Factorization of 7245


3 7245
3 2415
5 805
7 161
23 23
1

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

7245 = 32×51×71×231

∴ So by taking common prime factors GCF of 7240 and 7245 is 5

Greatest Common Factor of 7240 and 7245 by matching factors method

Factors of 7240

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

1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240

Factors of 7245

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

1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245

Greatest Common Factor

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

Properties of GCF 7240 and 7245

(i) The GCF of 7240 and 7245 is associative

GCF of 7240 and 7245 = GCF of 7245 and 7240

Related Greatest Common Factor of 7240

Related Greatest Common Factor of 7245

Frequently Asked Questions on GCF of 7240 and 7245

1. What is the GCF of 7240 and 7245?

Answer: GCF of 7240 and 7245 is 5.

2. What are the Factors of 7240?

Answer: Factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240. There are 16 integers that are factors of 7240. The greatest factor of 7240 is 7240.

3. What are the Factors of 7245?

Answer: Factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245. There are 24 integers that are factors of 7245. The greatest factor of 7245 is 7245.

4. How to Find the GCF of 7240 and 7245?

Answer:

Greatest Common Factor of 7240 and 7245 = 5

Step 1: Find the prime factorization of 7240

7240 = 2 x 2 x 2 x 5 x 181

Step 2: Find the prime factorization of 7245

7245 = 3 x 3 x 5 x 7 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 7240 and 7245 is 5