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, 7301 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7298 and 7301 is 1.
GCF(7298,7301) = 1
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 7301
7 | 7301 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 7301 are 7,149. Prime factorization of 7301 in exponential form is:
7301 = 72×1491
∴ So by taking common prime factors GCF of 7298 and 7301 is 1
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 7301
List of positive integer factors of 7301 that divides 7301 without a remainder.
1,7,49,149,1043,7301
Greatest Common Factor
We found the factors and prime factorization of 7298 and 7301. The biggest common factor number is the GCF number.
So the greatest common factor 7298 and 7301 is 1.
Also check out the Least Common Multiple of 7298 and 7301
(i) The GCF of 7298 and 7301 is associative
GCF of 7298 and 7301 = GCF of 7301 and 7298
1. What is the GCF of 7298 and 7301?
Answer: GCF of 7298 and 7301 is 1.
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 7301?
Answer: Factors of 7301 are 1, 7, 49, 149, 1043, 7301. There are 6 integers that are factors of 7301. The greatest factor of 7301 is 7301.
4. How to Find the GCF of 7298 and 7301?
Answer:
Greatest Common Factor of 7298 and 7301 = 1
Step 1: Find the prime factorization of 7298
7298 = 2 x 41 x 89
Step 2: Find the prime factorization of 7301
7301 = 7 x 7 x 149
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 7298 and 7301 is 1