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 5418, 5423 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5418 and 5423 is 1.
GCF(5418,5423) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5418
2 | 5418 |
3 | 2709 |
3 | 903 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 5418 are 2,3,7,43. Prime factorization of 5418 in exponential form is:
5418 = 21×32×71×431
Prime Factorization of 5423
11 | 5423 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 5423 are 11,17,29. Prime factorization of 5423 in exponential form is:
5423 = 111×171×291
∴ So by taking common prime factors GCF of 5418 and 5423 is 1
Factors of 5418
List of positive integer factors of 5418 that divides 5418 without a remainder.
1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418
Factors of 5423
List of positive integer factors of 5423 that divides 5423 without a remainder.
1,11,17,29,187,319,493,5423
Greatest Common Factor
We found the factors and prime factorization of 5418 and 5423. The biggest common factor number is the GCF number.
So the greatest common factor 5418 and 5423 is 1.
Also check out the Least Common Multiple of 5418 and 5423
(i) The GCF of 5418 and 5423 is associative
GCF of 5418 and 5423 = GCF of 5423 and 5418
1. What is the GCF of 5418 and 5423?
Answer: GCF of 5418 and 5423 is 1.
2. What are the Factors of 5418?
Answer: Factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418. There are 24 integers that are factors of 5418. The greatest factor of 5418 is 5418.
3. What are the Factors of 5423?
Answer: Factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423. There are 8 integers that are factors of 5423. The greatest factor of 5423 is 5423.
4. How to Find the GCF of 5418 and 5423?
Answer:
Greatest Common Factor of 5418 and 5423 = 1
Step 1: Find the prime factorization of 5418
5418 = 2 x 3 x 3 x 7 x 43
Step 2: Find the prime factorization of 5423
5423 = 11 x 17 x 29
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 5418 and 5423 is 1