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 7320, 7324 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7320 and 7324 is 4.
GCF(7320,7324) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7324
2 | 7324 |
2 | 3662 |
1831 | 1831 |
1 |
Prime factors of 7324 are 2,1831. Prime factorization of 7324 in exponential form is:
7324 = 22×18311
∴ So by taking common prime factors GCF of 7320 and 7324 is 4
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
Factors of 7324
List of positive integer factors of 7324 that divides 7324 without a remainder.
1,2,4,1831,3662,7324
Greatest Common Factor
We found the factors and prime factorization of 7320 and 7324. The biggest common factor number is the GCF number.
So the greatest common factor 7320 and 7324 is 4.
Also check out the Least Common Multiple of 7320 and 7324
(i) The GCF of 7320 and 7324 is associative
GCF of 7320 and 7324 = GCF of 7324 and 7320
1. What is the GCF of 7320 and 7324?
Answer: GCF of 7320 and 7324 is 4.
2. 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.
3. What are the Factors of 7324?
Answer: Factors of 7324 are 1, 2, 4, 1831, 3662, 7324. There are 6 integers that are factors of 7324. The greatest factor of 7324 is 7324.
4. How to Find the GCF of 7320 and 7324?
Answer:
Greatest Common Factor of 7320 and 7324 = 4
Step 1: Find the prime factorization of 7320
7320 = 2 x 2 x 2 x 3 x 5 x 61
Step 2: Find the prime factorization of 7324
7324 = 2 x 2 x 1831
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 7320 and 7324 is 4