Greatest Common Factor of 7352 and 7360

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 7352, 7360 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7352 and 7360 is 8.

GCF(7352,7360) = 8

GCF of 7352 and 7360

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

GCF of:
and

Greatest Common Factor of 7352 and 7360

GCF of 7352 and 7360 is 8

Prime Factorization of 7352


2 7352
2 3676
2 1838
919 919
1

Prime factors of 7352 are 2,919. Prime factorization of 7352 in exponential form is:

7352 = 23×9191

Prime Factorization of 7360


2 7360
2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 7360 are 2,5,23. Prime factorization of 7360 in exponential form is:

7360 = 26×51×231

∴ So by taking common prime factors GCF of 7352 and 7360 is 8

Greatest Common Factor of 7352 and 7360 by matching factors method

Factors of 7352

List of positive integer factors of 7352 that divides 7352 without a remainder.

1,2,4,8,919,1838,3676,7352

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360

Greatest Common Factor

We found the factors and prime factorization of 7352 and 7360. The biggest common factor number is the GCF number.
So the greatest common factor 7352 and 7360 is 8.

Also check out the Least Common Multiple of 7352 and 7360

Properties of GCF 7352 and 7360

(i) The GCF of 7352 and 7360 is associative

GCF of 7352 and 7360 = GCF of 7360 and 7352

Related Greatest Common Factor of 7352

Related Greatest Common Factor of 7360

Frequently Asked Questions on GCF of 7352 and 7360

1. What is the GCF of 7352 and 7360?

Answer: GCF of 7352 and 7360 is 8.

2. What are the Factors of 7352?

Answer: Factors of 7352 are 1, 2, 4, 8, 919, 1838, 3676, 7352. There are 8 integers that are factors of 7352. The greatest factor of 7352 is 7352.

3. What are the Factors of 7360?

Answer: Factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360. There are 28 integers that are factors of 7360. The greatest factor of 7360 is 7360.

4. How to Find the GCF of 7352 and 7360?

Answer:

Greatest Common Factor of 7352 and 7360 = 8

Step 1: Find the prime factorization of 7352

7352 = 2 x 2 x 2 x 919

Step 2: Find the prime factorization of 7360

7360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7352 and 7360 is 8