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, 5776 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5772 and 5776 is 4.
GCF(5772,5776) = 4
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 5776
2 | 5776 |
2 | 2888 |
2 | 1444 |
2 | 722 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 5776 are 2,19. Prime factorization of 5776 in exponential form is:
5776 = 24×192
∴ So by taking common prime factors GCF of 5772 and 5776 is 4
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 5776
List of positive integer factors of 5776 that divides 5776 without a remainder.
1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776
Greatest Common Factor
We found the factors and prime factorization of 5772 and 5776. The biggest common factor number is the GCF number.
So the greatest common factor 5772 and 5776 is 4.
Also check out the Least Common Multiple of 5772 and 5776
(i) The GCF of 5772 and 5776 is associative
GCF of 5772 and 5776 = GCF of 5776 and 5772
1. What is the GCF of 5772 and 5776?
Answer: GCF of 5772 and 5776 is 4.
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 5776?
Answer: Factors of 5776 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776. There are 15 integers that are factors of 5776. The greatest factor of 5776 is 5776.
4. How to Find the GCF of 5772 and 5776?
Answer:
Greatest Common Factor of 5772 and 5776 = 4
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 5776
5776 = 2 x 2 x 2 x 2 x 19 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5772 and 5776 is 4