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 7328, 7334 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7328 and 7334 is 2.
GCF(7328,7334) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7328
2 | 7328 |
2 | 3664 |
2 | 1832 |
2 | 916 |
2 | 458 |
229 | 229 |
1 |
Prime factors of 7328 are 2,229. Prime factorization of 7328 in exponential form is:
7328 = 25×2291
Prime Factorization of 7334
2 | 7334 |
19 | 3667 |
193 | 193 |
1 |
Prime factors of 7334 are 2,19,193. Prime factorization of 7334 in exponential form is:
7334 = 21×191×1931
∴ So by taking common prime factors GCF of 7328 and 7334 is 2
Factors of 7328
List of positive integer factors of 7328 that divides 7328 without a remainder.
1,2,4,8,16,32,229,458,916,1832,3664,7328
Factors of 7334
List of positive integer factors of 7334 that divides 7334 without a remainder.
1,2,19,38,193,386,3667,7334
Greatest Common Factor
We found the factors and prime factorization of 7328 and 7334. The biggest common factor number is the GCF number.
So the greatest common factor 7328 and 7334 is 2.
Also check out the Least Common Multiple of 7328 and 7334
(i) The GCF of 7328 and 7334 is associative
GCF of 7328 and 7334 = GCF of 7334 and 7328
1. What is the GCF of 7328 and 7334?
Answer: GCF of 7328 and 7334 is 2.
2. What are the Factors of 7328?
Answer: Factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. There are 12 integers that are factors of 7328. The greatest factor of 7328 is 7328.
3. What are the Factors of 7334?
Answer: Factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334. There are 8 integers that are factors of 7334. The greatest factor of 7334 is 7334.
4. How to Find the GCF of 7328 and 7334?
Answer:
Greatest Common Factor of 7328 and 7334 = 2
Step 1: Find the prime factorization of 7328
7328 = 2 x 2 x 2 x 2 x 2 x 229
Step 2: Find the prime factorization of 7334
7334 = 2 x 19 x 193
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7328 and 7334 is 2