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 11373, 11378 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11373 and 11378 is 1.
GCF(11373,11378) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11373
3 | 11373 |
17 | 3791 |
223 | 223 |
1 |
Prime factors of 11373 are 3,17,223. Prime factorization of 11373 in exponential form is:
11373 = 31×171×2231
Prime Factorization of 11378
2 | 11378 |
5689 | 5689 |
1 |
Prime factors of 11378 are 2,5689. Prime factorization of 11378 in exponential form is:
11378 = 21×56891
∴ So by taking common prime factors GCF of 11373 and 11378 is 1
Factors of 11373
List of positive integer factors of 11373 that divides 11373 without a remainder.
1,3,17,51,223,669,3791,11373
Factors of 11378
List of positive integer factors of 11378 that divides 11378 without a remainder.
1,2,5689,11378
Greatest Common Factor
We found the factors and prime factorization of 11373 and 11378. The biggest common factor number is the GCF number.
So the greatest common factor 11373 and 11378 is 1.
Also check out the Least Common Multiple of 11373 and 11378
(i) The GCF of 11373 and 11378 is associative
GCF of 11373 and 11378 = GCF of 11378 and 11373
1. What is the GCF of 11373 and 11378?
Answer: GCF of 11373 and 11378 is 1.
2. What are the Factors of 11373?
Answer: Factors of 11373 are 1, 3, 17, 51, 223, 669, 3791, 11373. There are 8 integers that are factors of 11373. The greatest factor of 11373 is 11373.
3. What are the Factors of 11378?
Answer: Factors of 11378 are 1, 2, 5689, 11378. There are 4 integers that are factors of 11378. The greatest factor of 11378 is 11378.
4. How to Find the GCF of 11373 and 11378?
Answer:
Greatest Common Factor of 11373 and 11378 = 1
Step 1: Find the prime factorization of 11373
11373 = 3 x 17 x 223
Step 2: Find the prime factorization of 11378
11378 = 2 x 5689
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 11373 and 11378 is 1