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 7298, 7302 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7298 and 7302 is 2.
GCF(7298,7302) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7298
2 | 7298 |
41 | 3649 |
89 | 89 |
1 |
Prime factors of 7298 are 2,41,89. Prime factorization of 7298 in exponential form is:
7298 = 21×411×891
Prime Factorization of 7302
2 | 7302 |
3 | 3651 |
1217 | 1217 |
1 |
Prime factors of 7302 are 2,3,1217. Prime factorization of 7302 in exponential form is:
7302 = 21×31×12171
∴ So by taking common prime factors GCF of 7298 and 7302 is 2
Factors of 7298
List of positive integer factors of 7298 that divides 7298 without a remainder.
1,2,41,82,89,178,3649,7298
Factors of 7302
List of positive integer factors of 7302 that divides 7302 without a remainder.
1,2,3,6,1217,2434,3651,7302
Greatest Common Factor
We found the factors and prime factorization of 7298 and 7302. The biggest common factor number is the GCF number.
So the greatest common factor 7298 and 7302 is 2.
Also check out the Least Common Multiple of 7298 and 7302
(i) The GCF of 7298 and 7302 is associative
GCF of 7298 and 7302 = GCF of 7302 and 7298
1. What is the GCF of 7298 and 7302?
Answer: GCF of 7298 and 7302 is 2.
2. What are the Factors of 7298?
Answer: Factors of 7298 are 1, 2, 41, 82, 89, 178, 3649, 7298. There are 8 integers that are factors of 7298. The greatest factor of 7298 is 7298.
3. What are the Factors of 7302?
Answer: Factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302. There are 8 integers that are factors of 7302. The greatest factor of 7302 is 7302.
4. How to Find the GCF of 7298 and 7302?
Answer:
Greatest Common Factor of 7298 and 7302 = 2
Step 1: Find the prime factorization of 7298
7298 = 2 x 41 x 89
Step 2: Find the prime factorization of 7302
7302 = 2 x 3 x 1217
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 7298 and 7302 is 2