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 7364, 7372 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7364 and 7372 is 4.
GCF(7364,7372) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7364
2 | 7364 |
2 | 3682 |
7 | 1841 |
263 | 263 |
1 |
Prime factors of 7364 are 2,7,263. Prime factorization of 7364 in exponential form is:
7364 = 22×71×2631
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 7364 and 7372 is 4
Factors of 7364
List of positive integer factors of 7364 that divides 7364 without a remainder.
1,2,4,7,14,28,263,526,1052,1841,3682,7364
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 7364 and 7372. The biggest common factor number is the GCF number.
So the greatest common factor 7364 and 7372 is 4.
Also check out the Least Common Multiple of 7364 and 7372
(i) The GCF of 7364 and 7372 is associative
GCF of 7364 and 7372 = GCF of 7372 and 7364
1. What is the GCF of 7364 and 7372?
Answer: GCF of 7364 and 7372 is 4.
2. What are the Factors of 7364?
Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.
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 7364 and 7372?
Answer:
Greatest Common Factor of 7364 and 7372 = 4
Step 1: Find the prime factorization of 7364
7364 = 2 x 2 x 7 x 263
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 7364 and 7372 is 4