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 7360, 7363 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7360 and 7363 is 1.
GCF(7360,7363) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7360
2 | 7360 |
2 | 3680 |
2 | 1840 |
2 | 920 |
2 | 460 |
2 | 230 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 7360 are 2,5,23. Prime factorization of 7360 in exponential form is:
7360 = 26×51×231
Prime Factorization of 7363
37 | 7363 |
199 | 199 |
1 |
Prime factors of 7363 are 37,199. Prime factorization of 7363 in exponential form is:
7363 = 371×1991
∴ So by taking common prime factors GCF of 7360 and 7363 is 1
Factors of 7360
List of positive integer factors of 7360 that divides 7360 without a remainder.
1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Factors of 7363
List of positive integer factors of 7363 that divides 7363 without a remainder.
1,37,199,7363
Greatest Common Factor
We found the factors and prime factorization of 7360 and 7363. The biggest common factor number is the GCF number.
So the greatest common factor 7360 and 7363 is 1.
Also check out the Least Common Multiple of 7360 and 7363
(i) The GCF of 7360 and 7363 is associative
GCF of 7360 and 7363 = GCF of 7363 and 7360
1. What is the GCF of 7360 and 7363?
Answer: GCF of 7360 and 7363 is 1.
2. What are the Factors of 7360?
Answer: Factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360. There are 28 integers that are factors of 7360. The greatest factor of 7360 is 7360.
3. What are the Factors of 7363?
Answer: Factors of 7363 are 1, 37, 199, 7363. There are 4 integers that are factors of 7363. The greatest factor of 7363 is 7363.
4. How to Find the GCF of 7360 and 7363?
Answer:
Greatest Common Factor of 7360 and 7363 = 1
Step 1: Find the prime factorization of 7360
7360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23
Step 2: Find the prime factorization of 7363
7363 = 37 x 199
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 7360 and 7363 is 1