Greatest Common Factor of 7308 and 7315

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 7308, 7315 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7308 and 7315 is 7.

GCF(7308,7315) = 7

GCF of 7308 and 7315

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

GCF of:
and

Greatest Common Factor of 7308 and 7315

GCF of 7308 and 7315 is 7

Prime Factorization of 7308


2 7308
2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 7308 are 2,3,7,29. Prime factorization of 7308 in exponential form is:

7308 = 22×32×71×291

Prime Factorization of 7315


5 7315
7 1463
11 209
19 19
1

Prime factors of 7315 are 5,7,11,19. Prime factorization of 7315 in exponential form is:

7315 = 51×71×111×191

∴ So by taking common prime factors GCF of 7308 and 7315 is 7

Greatest Common Factor of 7308 and 7315 by matching factors method

Factors of 7308

List of positive integer factors of 7308 that divides 7308 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Greatest Common Factor

We found the factors and prime factorization of 7308 and 7315. The biggest common factor number is the GCF number.
So the greatest common factor 7308 and 7315 is 7.

Also check out the Least Common Multiple of 7308 and 7315

Properties of GCF 7308 and 7315

(i) The GCF of 7308 and 7315 is associative

GCF of 7308 and 7315 = GCF of 7315 and 7308

Related Greatest Common Factor of 7308

Related Greatest Common Factor of 7315

Frequently Asked Questions on GCF of 7308 and 7315

1. What is the GCF of 7308 and 7315?

Answer: GCF of 7308 and 7315 is 7.

2. What are the Factors of 7308?

Answer: Factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308. There are 36 integers that are factors of 7308. The greatest factor of 7308 is 7308.

3. What are the Factors of 7315?

Answer: Factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315. There are 16 integers that are factors of 7315. The greatest factor of 7315 is 7315.

4. How to Find the GCF of 7308 and 7315?

Answer:

Greatest Common Factor of 7308 and 7315 = 7

Step 1: Find the prime factorization of 7308

7308 = 2 x 2 x 3 x 3 x 7 x 29

Step 2: Find the prime factorization of 7315

7315 = 5 x 7 x 11 x 19

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 7308 and 7315 is 7