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 5474, 5479 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5474 and 5479 is 1.
GCF(5474,5479) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5479
5479 | 5479 |
1 |
Prime factors of 5479 are 5479. Prime factorization of 5479 in exponential form is:
5479 = 54791
∴ So by taking common prime factors GCF of 5474 and 5479 is 1
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
Factors of 5479
List of positive integer factors of 5479 that divides 5479 without a remainder.
1,5479
Greatest Common Factor
We found the factors and prime factorization of 5474 and 5479. The biggest common factor number is the GCF number.
So the greatest common factor 5474 and 5479 is 1.
Also check out the Least Common Multiple of 5474 and 5479
(i) The GCF of 5474 and 5479 is associative
GCF of 5474 and 5479 = GCF of 5479 and 5474
1. What is the GCF of 5474 and 5479?
Answer: GCF of 5474 and 5479 is 1.
2. 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.
3. What are the Factors of 5479?
Answer: Factors of 5479 are 1, 5479. There are 2 integers that are factors of 5479. The greatest factor of 5479 is 5479.
4. How to Find the GCF of 5474 and 5479?
Answer:
Greatest Common Factor of 5474 and 5479 = 1
Step 1: Find the prime factorization of 5474
5474 = 2 x 7 x 17 x 23
Step 2: Find the prime factorization of 5479
5479 = 5479
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 5474 and 5479 is 1