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 7368, 7372 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7368 and 7372 is 4.
GCF(7368,7372) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7368
2 | 7368 |
2 | 3684 |
2 | 1842 |
3 | 921 |
307 | 307 |
1 |
Prime factors of 7368 are 2,3,307. Prime factorization of 7368 in exponential form is:
7368 = 23×31×3071
Prime Factorization of 7372
2 | 7372 |
2 | 3686 |
19 | 1843 |
97 | 97 |
1 |
Prime factors of 7372 are 2,19,97. Prime factorization of 7372 in exponential form is:
7372 = 22×191×971
∴ So by taking common prime factors GCF of 7368 and 7372 is 4
Factors of 7368
List of positive integer factors of 7368 that divides 7368 without a remainder.
1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368
Factors of 7372
List of positive integer factors of 7372 that divides 7372 without a remainder.
1,2,4,19,38,76,97,194,388,1843,3686,7372
Greatest Common Factor
We found the factors and prime factorization of 7368 and 7372. The biggest common factor number is the GCF number.
So the greatest common factor 7368 and 7372 is 4.
Also check out the Least Common Multiple of 7368 and 7372
(i) The GCF of 7368 and 7372 is associative
GCF of 7368 and 7372 = GCF of 7372 and 7368
1. What is the GCF of 7368 and 7372?
Answer: GCF of 7368 and 7372 is 4.
2. What are the Factors of 7368?
Answer: Factors of 7368 are 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368. There are 16 integers that are factors of 7368. The greatest factor of 7368 is 7368.
3. What are the Factors of 7372?
Answer: Factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372. There are 12 integers that are factors of 7372. The greatest factor of 7372 is 7372.
4. How to Find the GCF of 7368 and 7372?
Answer:
Greatest Common Factor of 7368 and 7372 = 4
Step 1: Find the prime factorization of 7368
7368 = 2 x 2 x 2 x 3 x 307
Step 2: Find the prime factorization of 7372
7372 = 2 x 2 x 19 x 97
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 7368 and 7372 is 4