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 23373, 23378 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 23373 and 23378 is 1.
GCF(23373,23378) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 23373
3 | 23373 |
3 | 7791 |
7 | 2597 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 23373 are 3,7,53. Prime factorization of 23373 in exponential form is:
23373 = 32×72×531
Prime Factorization of 23378
2 | 23378 |
11689 | 11689 |
1 |
Prime factors of 23378 are 2,11689. Prime factorization of 23378 in exponential form is:
23378 = 21×116891
∴ So by taking common prime factors GCF of 23373 and 23378 is 1
Factors of 23373
List of positive integer factors of 23373 that divides 23373 without a remainder.
1,3,7,9,21,49,53,63,147,159,371,441,477,1113,2597,3339,7791,23373
Factors of 23378
List of positive integer factors of 23378 that divides 23378 without a remainder.
1,2,11689,23378
Greatest Common Factor
We found the factors and prime factorization of 23373 and 23378. The biggest common factor number is the GCF number.
So the greatest common factor 23373 and 23378 is 1.
Also check out the Least Common Multiple of 23373 and 23378
(i) The GCF of 23373 and 23378 is associative
GCF of 23373 and 23378 = GCF of 23378 and 23373
1. What is the GCF of 23373 and 23378?
Answer: GCF of 23373 and 23378 is 1.
2. What are the Factors of 23373?
Answer: Factors of 23373 are 1, 3, 7, 9, 21, 49, 53, 63, 147, 159, 371, 441, 477, 1113, 2597, 3339, 7791, 23373. There are 18 integers that are factors of 23373. The greatest factor of 23373 is 23373.
3. What are the Factors of 23378?
Answer: Factors of 23378 are 1, 2, 11689, 23378. There are 4 integers that are factors of 23378. The greatest factor of 23378 is 23378.
4. How to Find the GCF of 23373 and 23378?
Answer:
Greatest Common Factor of 23373 and 23378 = 1
Step 1: Find the prime factorization of 23373
23373 = 3 x 3 x 7 x 7 x 53
Step 2: Find the prime factorization of 23378
23378 = 2 x 11689
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 23373 and 23378 is 1