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 4774, 4777 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4774 and 4777 is 1.
GCF(4774,4777) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4774
2 | 4774 |
7 | 2387 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 4774 are 2,7,11,31. Prime factorization of 4774 in exponential form is:
4774 = 21×71×111×311
Prime Factorization of 4777
17 | 4777 |
281 | 281 |
1 |
Prime factors of 4777 are 17,281. Prime factorization of 4777 in exponential form is:
4777 = 171×2811
∴ So by taking common prime factors GCF of 4774 and 4777 is 1
Factors of 4774
List of positive integer factors of 4774 that divides 4774 without a remainder.
1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774
Factors of 4777
List of positive integer factors of 4777 that divides 4777 without a remainder.
1,17,281,4777
Greatest Common Factor
We found the factors and prime factorization of 4774 and 4777. The biggest common factor number is the GCF number.
So the greatest common factor 4774 and 4777 is 1.
Also check out the Least Common Multiple of 4774 and 4777
(i) The GCF of 4774 and 4777 is associative
GCF of 4774 and 4777 = GCF of 4777 and 4774
1. What is the GCF of 4774 and 4777?
Answer: GCF of 4774 and 4777 is 1.
2. What are the Factors of 4774?
Answer: Factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774. There are 16 integers that are factors of 4774. The greatest factor of 4774 is 4774.
3. What are the Factors of 4777?
Answer: Factors of 4777 are 1, 17, 281, 4777. There are 4 integers that are factors of 4777. The greatest factor of 4777 is 4777.
4. How to Find the GCF of 4774 and 4777?
Answer:
Greatest Common Factor of 4774 and 4777 = 1
Step 1: Find the prime factorization of 4774
4774 = 2 x 7 x 11 x 31
Step 2: Find the prime factorization of 4777
4777 = 17 x 281
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 4774 and 4777 is 1