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 5772, 5773 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5772 and 5773 is 1.
GCF(5772,5773) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5772
2 | 5772 |
2 | 2886 |
3 | 1443 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 5772 are 2,3,13,37. Prime factorization of 5772 in exponential form is:
5772 = 22×31×131×371
Prime Factorization of 5773
23 | 5773 |
251 | 251 |
1 |
Prime factors of 5773 are 23,251. Prime factorization of 5773 in exponential form is:
5773 = 231×2511
∴ So by taking common prime factors GCF of 5772 and 5773 is 1
Factors of 5772
List of positive integer factors of 5772 that divides 5772 without a remainder.
1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772
Factors of 5773
List of positive integer factors of 5773 that divides 5773 without a remainder.
1,23,251,5773
Greatest Common Factor
We found the factors and prime factorization of 5772 and 5773. The biggest common factor number is the GCF number.
So the greatest common factor 5772 and 5773 is 1.
Also check out the Least Common Multiple of 5772 and 5773
(i) The GCF of 5772 and 5773 is associative
GCF of 5772 and 5773 = GCF of 5773 and 5772
1. What is the GCF of 5772 and 5773?
Answer: GCF of 5772 and 5773 is 1.
2. What are the Factors of 5772?
Answer: Factors of 5772 are 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772. There are 24 integers that are factors of 5772. The greatest factor of 5772 is 5772.
3. What are the Factors of 5773?
Answer: Factors of 5773 are 1, 23, 251, 5773. There are 4 integers that are factors of 5773. The greatest factor of 5773 is 5773.
4. How to Find the GCF of 5772 and 5773?
Answer:
Greatest Common Factor of 5772 and 5773 = 1
Step 1: Find the prime factorization of 5772
5772 = 2 x 2 x 3 x 13 x 37
Step 2: Find the prime factorization of 5773
5773 = 23 x 251
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 5772 and 5773 is 1