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 4773, 4776 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4773 and 4776 is 3.
GCF(4773,4776) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4773
3 | 4773 |
37 | 1591 |
43 | 43 |
1 |
Prime factors of 4773 are 3,37,43. Prime factorization of 4773 in exponential form is:
4773 = 31×371×431
Prime Factorization of 4776
2 | 4776 |
2 | 2388 |
2 | 1194 |
3 | 597 |
199 | 199 |
1 |
Prime factors of 4776 are 2,3,199. Prime factorization of 4776 in exponential form is:
4776 = 23×31×1991
∴ So by taking common prime factors GCF of 4773 and 4776 is 3
Factors of 4773
List of positive integer factors of 4773 that divides 4773 without a remainder.
1,3,37,43,111,129,1591,4773
Factors of 4776
List of positive integer factors of 4776 that divides 4776 without a remainder.
1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776
Greatest Common Factor
We found the factors and prime factorization of 4773 and 4776. The biggest common factor number is the GCF number.
So the greatest common factor 4773 and 4776 is 3.
Also check out the Least Common Multiple of 4773 and 4776
(i) The GCF of 4773 and 4776 is associative
GCF of 4773 and 4776 = GCF of 4776 and 4773
1. What is the GCF of 4773 and 4776?
Answer: GCF of 4773 and 4776 is 3.
2. What are the Factors of 4773?
Answer: Factors of 4773 are 1, 3, 37, 43, 111, 129, 1591, 4773. There are 8 integers that are factors of 4773. The greatest factor of 4773 is 4773.
3. What are the Factors of 4776?
Answer: Factors of 4776 are 1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776. There are 16 integers that are factors of 4776. The greatest factor of 4776 is 4776.
4. How to Find the GCF of 4773 and 4776?
Answer:
Greatest Common Factor of 4773 and 4776 = 3
Step 1: Find the prime factorization of 4773
4773 = 3 x 37 x 43
Step 2: Find the prime factorization of 4776
4776 = 2 x 2 x 2 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 = 3
Step 4: Therefore, the greatest common factor of 4773 and 4776 is 3