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 4763, 4771 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4763 and 4771 is 1.
GCF(4763,4771) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4763
11 | 4763 |
433 | 433 |
1 |
Prime factors of 4763 are 11,433. Prime factorization of 4763 in exponential form is:
4763 = 111×4331
Prime Factorization of 4771
13 | 4771 |
367 | 367 |
1 |
Prime factors of 4771 are 13,367. Prime factorization of 4771 in exponential form is:
4771 = 131×3671
∴ So by taking common prime factors GCF of 4763 and 4771 is 1
Factors of 4763
List of positive integer factors of 4763 that divides 4763 without a remainder.
1,11,433,4763
Factors of 4771
List of positive integer factors of 4771 that divides 4771 without a remainder.
1,13,367,4771
Greatest Common Factor
We found the factors and prime factorization of 4763 and 4771. The biggest common factor number is the GCF number.
So the greatest common factor 4763 and 4771 is 1.
Also check out the Least Common Multiple of 4763 and 4771
(i) The GCF of 4763 and 4771 is associative
GCF of 4763 and 4771 = GCF of 4771 and 4763
1. What is the GCF of 4763 and 4771?
Answer: GCF of 4763 and 4771 is 1.
2. What are the Factors of 4763?
Answer: Factors of 4763 are 1, 11, 433, 4763. There are 4 integers that are factors of 4763. The greatest factor of 4763 is 4763.
3. What are the Factors of 4771?
Answer: Factors of 4771 are 1, 13, 367, 4771. There are 4 integers that are factors of 4771. The greatest factor of 4771 is 4771.
4. How to Find the GCF of 4763 and 4771?
Answer:
Greatest Common Factor of 4763 and 4771 = 1
Step 1: Find the prime factorization of 4763
4763 = 11 x 433
Step 2: Find the prime factorization of 4771
4771 = 13 x 367
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 4763 and 4771 is 1