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 5492, 5499 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5492 and 5499 is 1.
GCF(5492,5499) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5492
2 | 5492 |
2 | 2746 |
1373 | 1373 |
1 |
Prime factors of 5492 are 2,1373. Prime factorization of 5492 in exponential form is:
5492 = 22×13731
Prime Factorization of 5499
3 | 5499 |
3 | 1833 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 5499 are 3,13,47. Prime factorization of 5499 in exponential form is:
5499 = 32×131×471
∴ So by taking common prime factors GCF of 5492 and 5499 is 1
Factors of 5492
List of positive integer factors of 5492 that divides 5492 without a remainder.
1,2,4,1373,2746,5492
Factors of 5499
List of positive integer factors of 5499 that divides 5499 without a remainder.
1,3,9,13,39,47,117,141,423,611,1833,5499
Greatest Common Factor
We found the factors and prime factorization of 5492 and 5499. The biggest common factor number is the GCF number.
So the greatest common factor 5492 and 5499 is 1.
Also check out the Least Common Multiple of 5492 and 5499
(i) The GCF of 5492 and 5499 is associative
GCF of 5492 and 5499 = GCF of 5499 and 5492
1. What is the GCF of 5492 and 5499?
Answer: GCF of 5492 and 5499 is 1.
2. What are the Factors of 5492?
Answer: Factors of 5492 are 1, 2, 4, 1373, 2746, 5492. There are 6 integers that are factors of 5492. The greatest factor of 5492 is 5492.
3. What are the Factors of 5499?
Answer: Factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499. There are 12 integers that are factors of 5499. The greatest factor of 5499 is 5499.
4. How to Find the GCF of 5492 and 5499?
Answer:
Greatest Common Factor of 5492 and 5499 = 1
Step 1: Find the prime factorization of 5492
5492 = 2 x 2 x 1373
Step 2: Find the prime factorization of 5499
5499 = 3 x 3 x 13 x 47
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 5492 and 5499 is 1