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 5369, 5373 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5369 and 5373 is 1.
GCF(5369,5373) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5369
7 | 5369 |
13 | 767 |
59 | 59 |
1 |
Prime factors of 5369 are 7,13,59. Prime factorization of 5369 in exponential form is:
5369 = 71×131×591
Prime Factorization of 5373
3 | 5373 |
3 | 1791 |
3 | 597 |
199 | 199 |
1 |
Prime factors of 5373 are 3,199. Prime factorization of 5373 in exponential form is:
5373 = 33×1991
∴ So by taking common prime factors GCF of 5369 and 5373 is 1
Factors of 5369
List of positive integer factors of 5369 that divides 5369 without a remainder.
1,7,13,59,91,413,767,5369
Factors of 5373
List of positive integer factors of 5373 that divides 5373 without a remainder.
1,3,9,27,199,597,1791,5373
Greatest Common Factor
We found the factors and prime factorization of 5369 and 5373. The biggest common factor number is the GCF number.
So the greatest common factor 5369 and 5373 is 1.
Also check out the Least Common Multiple of 5369 and 5373
(i) The GCF of 5369 and 5373 is associative
GCF of 5369 and 5373 = GCF of 5373 and 5369
1. What is the GCF of 5369 and 5373?
Answer: GCF of 5369 and 5373 is 1.
2. What are the Factors of 5369?
Answer: Factors of 5369 are 1, 7, 13, 59, 91, 413, 767, 5369. There are 8 integers that are factors of 5369. The greatest factor of 5369 is 5369.
3. What are the Factors of 5373?
Answer: Factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373. There are 8 integers that are factors of 5373. The greatest factor of 5373 is 5373.
4. How to Find the GCF of 5369 and 5373?
Answer:
Greatest Common Factor of 5369 and 5373 = 1
Step 1: Find the prime factorization of 5369
5369 = 7 x 13 x 59
Step 2: Find the prime factorization of 5373
5373 = 3 x 3 x 3 x 199
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 5369 and 5373 is 1