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 7371, 7379 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7371 and 7379 is 1.
GCF(7371,7379) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7371
3 | 7371 |
3 | 2457 |
3 | 819 |
3 | 273 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 7371 are 3,7,13. Prime factorization of 7371 in exponential form is:
7371 = 34×71×131
Prime Factorization of 7379
47 | 7379 |
157 | 157 |
1 |
Prime factors of 7379 are 47,157. Prime factorization of 7379 in exponential form is:
7379 = 471×1571
∴ So by taking common prime factors GCF of 7371 and 7379 is 1
Factors of 7371
List of positive integer factors of 7371 that divides 7371 without a remainder.
1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371
Factors of 7379
List of positive integer factors of 7379 that divides 7379 without a remainder.
1,47,157,7379
Greatest Common Factor
We found the factors and prime factorization of 7371 and 7379. The biggest common factor number is the GCF number.
So the greatest common factor 7371 and 7379 is 1.
Also check out the Least Common Multiple of 7371 and 7379
(i) The GCF of 7371 and 7379 is associative
GCF of 7371 and 7379 = GCF of 7379 and 7371
1. What is the GCF of 7371 and 7379?
Answer: GCF of 7371 and 7379 is 1.
2. What are the Factors of 7371?
Answer: Factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371. There are 20 integers that are factors of 7371. The greatest factor of 7371 is 7371.
3. What are the Factors of 7379?
Answer: Factors of 7379 are 1, 47, 157, 7379. There are 4 integers that are factors of 7379. The greatest factor of 7379 is 7379.
4. How to Find the GCF of 7371 and 7379?
Answer:
Greatest Common Factor of 7371 and 7379 = 1
Step 1: Find the prime factorization of 7371
7371 = 3 x 3 x 3 x 3 x 7 x 13
Step 2: Find the prime factorization of 7379
7379 = 47 x 157
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 7371 and 7379 is 1