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, 7314 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7308 and 7314 is 6.
GCF(7308,7314) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 7314
2 | 7314 |
3 | 3657 |
23 | 1219 |
53 | 53 |
1 |
Prime factors of 7314 are 2,3,23,53. Prime factorization of 7314 in exponential form is:
7314 = 21×31×231×531
∴ So by taking common prime factors GCF of 7308 and 7314 is 6
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 7314
List of positive integer factors of 7314 that divides 7314 without a remainder.
1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314
Greatest Common Factor
We found the factors and prime factorization of 7308 and 7314. The biggest common factor number is the GCF number.
So the greatest common factor 7308 and 7314 is 6.
Also check out the Least Common Multiple of 7308 and 7314
(i) The GCF of 7308 and 7314 is associative
GCF of 7308 and 7314 = GCF of 7314 and 7308
1. What is the GCF of 7308 and 7314?
Answer: GCF of 7308 and 7314 is 6.
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 7314?
Answer: Factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314. There are 16 integers that are factors of 7314. The greatest factor of 7314 is 7314.
4. How to Find the GCF of 7308 and 7314?
Answer:
Greatest Common Factor of 7308 and 7314 = 6
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 7314
7314 = 2 x 3 x 23 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 7308 and 7314 is 6