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 7314, 7320 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7314 and 7320 is 6.
GCF(7314,7320) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7320
2 | 7320 |
2 | 3660 |
2 | 1830 |
3 | 915 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 7320 are 2,3,5,61. Prime factorization of 7320 in exponential form is:
7320 = 23×31×51×611
∴ So by taking common prime factors GCF of 7314 and 7320 is 6
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
Factors of 7320
List of positive integer factors of 7320 that divides 7320 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320
Greatest Common Factor
We found the factors and prime factorization of 7314 and 7320. The biggest common factor number is the GCF number.
So the greatest common factor 7314 and 7320 is 6.
Also check out the Least Common Multiple of 7314 and 7320
(i) The GCF of 7314 and 7320 is associative
GCF of 7314 and 7320 = GCF of 7320 and 7314
1. What is the GCF of 7314 and 7320?
Answer: GCF of 7314 and 7320 is 6.
2. 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.
3. What are the Factors of 7320?
Answer: Factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320. There are 32 integers that are factors of 7320. The greatest factor of 7320 is 7320.
4. How to Find the GCF of 7314 and 7320?
Answer:
Greatest Common Factor of 7314 and 7320 = 6
Step 1: Find the prime factorization of 7314
7314 = 2 x 3 x 23 x 53
Step 2: Find the prime factorization of 7320
7320 = 2 x 2 x 2 x 3 x 5 x 61
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 7314 and 7320 is 6