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 5473, 5474 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5473 and 5474 is 1.
GCF(5473,5474) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5473
13 | 5473 |
421 | 421 |
1 |
Prime factors of 5473 are 13,421. Prime factorization of 5473 in exponential form is:
5473 = 131×4211
Prime Factorization of 5474
2 | 5474 |
7 | 2737 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 5474 are 2,7,17,23. Prime factorization of 5474 in exponential form is:
5474 = 21×71×171×231
∴ So by taking common prime factors GCF of 5473 and 5474 is 1
Factors of 5473
List of positive integer factors of 5473 that divides 5473 without a remainder.
1,13,421,5473
Factors of 5474
List of positive integer factors of 5474 that divides 5474 without a remainder.
1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474
Greatest Common Factor
We found the factors and prime factorization of 5473 and 5474. The biggest common factor number is the GCF number.
So the greatest common factor 5473 and 5474 is 1.
Also check out the Least Common Multiple of 5473 and 5474
(i) The GCF of 5473 and 5474 is associative
GCF of 5473 and 5474 = GCF of 5474 and 5473
1. What is the GCF of 5473 and 5474?
Answer: GCF of 5473 and 5474 is 1.
2. What are the Factors of 5473?
Answer: Factors of 5473 are 1, 13, 421, 5473. There are 4 integers that are factors of 5473. The greatest factor of 5473 is 5473.
3. What are the Factors of 5474?
Answer: Factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474. There are 16 integers that are factors of 5474. The greatest factor of 5474 is 5474.
4. How to Find the GCF of 5473 and 5474?
Answer:
Greatest Common Factor of 5473 and 5474 = 1
Step 1: Find the prime factorization of 5473
5473 = 13 x 421
Step 2: Find the prime factorization of 5474
5474 = 2 x 7 x 17 x 23
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 5473 and 5474 is 1