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 7358, 7365 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7358 and 7365 is 1.
GCF(7358,7365) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7358
2 | 7358 |
13 | 3679 |
283 | 283 |
1 |
Prime factors of 7358 are 2,13,283. Prime factorization of 7358 in exponential form is:
7358 = 21×131×2831
Prime Factorization of 7365
3 | 7365 |
5 | 2455 |
491 | 491 |
1 |
Prime factors of 7365 are 3,5,491. Prime factorization of 7365 in exponential form is:
7365 = 31×51×4911
∴ So by taking common prime factors GCF of 7358 and 7365 is 1
Factors of 7358
List of positive integer factors of 7358 that divides 7358 without a remainder.
1,2,13,26,283,566,3679,7358
Factors of 7365
List of positive integer factors of 7365 that divides 7365 without a remainder.
1,3,5,15,491,1473,2455,7365
Greatest Common Factor
We found the factors and prime factorization of 7358 and 7365. The biggest common factor number is the GCF number.
So the greatest common factor 7358 and 7365 is 1.
Also check out the Least Common Multiple of 7358 and 7365
(i) The GCF of 7358 and 7365 is associative
GCF of 7358 and 7365 = GCF of 7365 and 7358
1. What is the GCF of 7358 and 7365?
Answer: GCF of 7358 and 7365 is 1.
2. What are the Factors of 7358?
Answer: Factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358. There are 8 integers that are factors of 7358. The greatest factor of 7358 is 7358.
3. What are the Factors of 7365?
Answer: Factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365. There are 8 integers that are factors of 7365. The greatest factor of 7365 is 7365.
4. How to Find the GCF of 7358 and 7365?
Answer:
Greatest Common Factor of 7358 and 7365 = 1
Step 1: Find the prime factorization of 7358
7358 = 2 x 13 x 283
Step 2: Find the prime factorization of 7365
7365 = 3 x 5 x 491
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 7358 and 7365 is 1