Greatest Common Factor of 7245 and 7252

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 7245, 7252 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7245 and 7252 is 7.

GCF(7245,7252) = 7

GCF of 7245 and 7252

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

GCF of:
and

Greatest Common Factor of 7245 and 7252

GCF of 7245 and 7252 is 7

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

Prime Factorization of 7252


2 7252
2 3626
7 1813
7 259
37 37
1

Prime factors of 7252 are 2,7,37. Prime factorization of 7252 in exponential form is:

7252 = 22×72×371

∴ So by taking common prime factors GCF of 7245 and 7252 is 7

Greatest Common Factor of 7245 and 7252 by matching factors method

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

Factors of 7252

List of positive integer factors of 7252 that divides 7252 without a remainder.

1,2,4,7,14,28,37,49,74,98,148,196,259,518,1036,1813,3626,7252

Greatest Common Factor

We found the factors and prime factorization of 7245 and 7252. The biggest common factor number is the GCF number.
So the greatest common factor 7245 and 7252 is 7.

Also check out the Least Common Multiple of 7245 and 7252

Properties of GCF 7245 and 7252

(i) The GCF of 7245 and 7252 is associative

GCF of 7245 and 7252 = GCF of 7252 and 7245

Related Greatest Common Factor of 7245

Related Greatest Common Factor of 7252

Frequently Asked Questions on GCF of 7245 and 7252

1. What is the GCF of 7245 and 7252?

Answer: GCF of 7245 and 7252 is 7.

2. 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.

3. What are the Factors of 7252?

Answer: Factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252. There are 18 integers that are factors of 7252. The greatest factor of 7252 is 7252.

4. How to Find the GCF of 7245 and 7252?

Answer:

Greatest Common Factor of 7245 and 7252 = 7

Step 1: Find the prime factorization of 7245

7245 = 3 x 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 7252

7252 = 2 x 2 x 7 x 7 x 37

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7245 and 7252 is 7