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 5332, 5337 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5332 and 5337 is 1.
GCF(5332,5337) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5332
2 | 5332 |
2 | 2666 |
31 | 1333 |
43 | 43 |
1 |
Prime factors of 5332 are 2,31,43. Prime factorization of 5332 in exponential form is:
5332 = 22×311×431
Prime Factorization of 5337
3 | 5337 |
3 | 1779 |
593 | 593 |
1 |
Prime factors of 5337 are 3,593. Prime factorization of 5337 in exponential form is:
5337 = 32×5931
∴ So by taking common prime factors GCF of 5332 and 5337 is 1
Factors of 5332
List of positive integer factors of 5332 that divides 5332 without a remainder.
1,2,4,31,43,62,86,124,172,1333,2666,5332
Factors of 5337
List of positive integer factors of 5337 that divides 5337 without a remainder.
1,3,9,593,1779,5337
Greatest Common Factor
We found the factors and prime factorization of 5332 and 5337. The biggest common factor number is the GCF number.
So the greatest common factor 5332 and 5337 is 1.
Also check out the Least Common Multiple of 5332 and 5337
(i) The GCF of 5332 and 5337 is associative
GCF of 5332 and 5337 = GCF of 5337 and 5332
1. What is the GCF of 5332 and 5337?
Answer: GCF of 5332 and 5337 is 1.
2. What are the Factors of 5332?
Answer: Factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332. There are 12 integers that are factors of 5332. The greatest factor of 5332 is 5332.
3. What are the Factors of 5337?
Answer: Factors of 5337 are 1, 3, 9, 593, 1779, 5337. There are 6 integers that are factors of 5337. The greatest factor of 5337 is 5337.
4. How to Find the GCF of 5332 and 5337?
Answer:
Greatest Common Factor of 5332 and 5337 = 1
Step 1: Find the prime factorization of 5332
5332 = 2 x 2 x 31 x 43
Step 2: Find the prime factorization of 5337
5337 = 3 x 3 x 593
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 5332 and 5337 is 1