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 5452, 5459 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5452 and 5459 is 1.
GCF(5452,5459) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5452
2 | 5452 |
2 | 2726 |
29 | 1363 |
47 | 47 |
1 |
Prime factors of 5452 are 2,29,47. Prime factorization of 5452 in exponential form is:
5452 = 22×291×471
Prime Factorization of 5459
53 | 5459 |
103 | 103 |
1 |
Prime factors of 5459 are 53,103. Prime factorization of 5459 in exponential form is:
5459 = 531×1031
∴ So by taking common prime factors GCF of 5452 and 5459 is 1
Factors of 5452
List of positive integer factors of 5452 that divides 5452 without a remainder.
1,2,4,29,47,58,94,116,188,1363,2726,5452
Factors of 5459
List of positive integer factors of 5459 that divides 5459 without a remainder.
1,53,103,5459
Greatest Common Factor
We found the factors and prime factorization of 5452 and 5459. The biggest common factor number is the GCF number.
So the greatest common factor 5452 and 5459 is 1.
Also check out the Least Common Multiple of 5452 and 5459
(i) The GCF of 5452 and 5459 is associative
GCF of 5452 and 5459 = GCF of 5459 and 5452
1. What is the GCF of 5452 and 5459?
Answer: GCF of 5452 and 5459 is 1.
2. What are the Factors of 5452?
Answer: Factors of 5452 are 1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452. There are 12 integers that are factors of 5452. The greatest factor of 5452 is 5452.
3. What are the Factors of 5459?
Answer: Factors of 5459 are 1, 53, 103, 5459. There are 4 integers that are factors of 5459. The greatest factor of 5459 is 5459.
4. How to Find the GCF of 5452 and 5459?
Answer:
Greatest Common Factor of 5452 and 5459 = 1
Step 1: Find the prime factorization of 5452
5452 = 2 x 2 x 29 x 47
Step 2: Find the prime factorization of 5459
5459 = 53 x 103
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 5452 and 5459 is 1