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 4767, 4775 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4767 and 4775 is 1.
GCF(4767,4775) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4767
3 | 4767 |
7 | 1589 |
227 | 227 |
1 |
Prime factors of 4767 are 3,7,227. Prime factorization of 4767 in exponential form is:
4767 = 31×71×2271
Prime Factorization of 4775
5 | 4775 |
5 | 955 |
191 | 191 |
1 |
Prime factors of 4775 are 5,191. Prime factorization of 4775 in exponential form is:
4775 = 52×1911
∴ So by taking common prime factors GCF of 4767 and 4775 is 1
Factors of 4767
List of positive integer factors of 4767 that divides 4767 without a remainder.
1,3,7,21,227,681,1589,4767
Factors of 4775
List of positive integer factors of 4775 that divides 4775 without a remainder.
1,5,25,191,955,4775
Greatest Common Factor
We found the factors and prime factorization of 4767 and 4775. The biggest common factor number is the GCF number.
So the greatest common factor 4767 and 4775 is 1.
Also check out the Least Common Multiple of 4767 and 4775
(i) The GCF of 4767 and 4775 is associative
GCF of 4767 and 4775 = GCF of 4775 and 4767
1. What is the GCF of 4767 and 4775?
Answer: GCF of 4767 and 4775 is 1.
2. What are the Factors of 4767?
Answer: Factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767. There are 8 integers that are factors of 4767. The greatest factor of 4767 is 4767.
3. What are the Factors of 4775?
Answer: Factors of 4775 are 1, 5, 25, 191, 955, 4775. There are 6 integers that are factors of 4775. The greatest factor of 4775 is 4775.
4. How to Find the GCF of 4767 and 4775?
Answer:
Greatest Common Factor of 4767 and 4775 = 1
Step 1: Find the prime factorization of 4767
4767 = 3 x 7 x 227
Step 2: Find the prime factorization of 4775
4775 = 5 x 5 x 191
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 4767 and 4775 is 1