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 7396, 7403 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7396 and 7403 is 1.
GCF(7396,7403) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7396
2 | 7396 |
2 | 3698 |
43 | 1849 |
43 | 43 |
1 |
Prime factors of 7396 are 2,43. Prime factorization of 7396 in exponential form is:
7396 = 22×432
Prime Factorization of 7403
11 | 7403 |
673 | 673 |
1 |
Prime factors of 7403 are 11,673. Prime factorization of 7403 in exponential form is:
7403 = 111×6731
∴ So by taking common prime factors GCF of 7396 and 7403 is 1
Factors of 7396
List of positive integer factors of 7396 that divides 7396 without a remainder.
1,2,4,43,86,172,1849,3698,7396
Factors of 7403
List of positive integer factors of 7403 that divides 7403 without a remainder.
1,11,673,7403
Greatest Common Factor
We found the factors and prime factorization of 7396 and 7403. The biggest common factor number is the GCF number.
So the greatest common factor 7396 and 7403 is 1.
Also check out the Least Common Multiple of 7396 and 7403
(i) The GCF of 7396 and 7403 is associative
GCF of 7396 and 7403 = GCF of 7403 and 7396
1. What is the GCF of 7396 and 7403?
Answer: GCF of 7396 and 7403 is 1.
2. What are the Factors of 7396?
Answer: Factors of 7396 are 1, 2, 4, 43, 86, 172, 1849, 3698, 7396. There are 9 integers that are factors of 7396. The greatest factor of 7396 is 7396.
3. What are the Factors of 7403?
Answer: Factors of 7403 are 1, 11, 673, 7403. There are 4 integers that are factors of 7403. The greatest factor of 7403 is 7403.
4. How to Find the GCF of 7396 and 7403?
Answer:
Greatest Common Factor of 7396 and 7403 = 1
Step 1: Find the prime factorization of 7396
7396 = 2 x 2 x 43 x 43
Step 2: Find the prime factorization of 7403
7403 = 11 x 673
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 7396 and 7403 is 1