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, 4778 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4774 and 4778 is 2.
GCF(4774,4778) = 2
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 4778
2 | 4778 |
2389 | 2389 |
1 |
Prime factors of 4778 are 2,2389. Prime factorization of 4778 in exponential form is:
4778 = 21×23891
∴ So by taking common prime factors GCF of 4774 and 4778 is 2
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 4778
List of positive integer factors of 4778 that divides 4778 without a remainder.
1,2,2389,4778
Greatest Common Factor
We found the factors and prime factorization of 4774 and 4778. The biggest common factor number is the GCF number.
So the greatest common factor 4774 and 4778 is 2.
Also check out the Least Common Multiple of 4774 and 4778
(i) The GCF of 4774 and 4778 is associative
GCF of 4774 and 4778 = GCF of 4778 and 4774
1. What is the GCF of 4774 and 4778?
Answer: GCF of 4774 and 4778 is 2.
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 4778?
Answer: Factors of 4778 are 1, 2, 2389, 4778. There are 4 integers that are factors of 4778. The greatest factor of 4778 is 4778.
4. How to Find the GCF of 4774 and 4778?
Answer:
Greatest Common Factor of 4774 and 4778 = 2
Step 1: Find the prime factorization of 4774
4774 = 2 x 7 x 11 x 31
Step 2: Find the prime factorization of 4778
4778 = 2 x 2389
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4774 and 4778 is 2