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 4777, 4782 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4777 and 4782 is 1.
GCF(4777,4782) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4782
2 | 4782 |
3 | 2391 |
797 | 797 |
1 |
Prime factors of 4782 are 2,3,797. Prime factorization of 4782 in exponential form is:
4782 = 21×31×7971
∴ So by taking common prime factors GCF of 4777 and 4782 is 1
Factors of 4777
List of positive integer factors of 4777 that divides 4777 without a remainder.
1,17,281,4777
Factors of 4782
List of positive integer factors of 4782 that divides 4782 without a remainder.
1,2,3,6,797,1594,2391,4782
Greatest Common Factor
We found the factors and prime factorization of 4777 and 4782. The biggest common factor number is the GCF number.
So the greatest common factor 4777 and 4782 is 1.
Also check out the Least Common Multiple of 4777 and 4782
(i) The GCF of 4777 and 4782 is associative
GCF of 4777 and 4782 = GCF of 4782 and 4777
1. What is the GCF of 4777 and 4782?
Answer: GCF of 4777 and 4782 is 1.
2. 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.
3. What are the Factors of 4782?
Answer: Factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782. There are 8 integers that are factors of 4782. The greatest factor of 4782 is 4782.
4. How to Find the GCF of 4777 and 4782?
Answer:
Greatest Common Factor of 4777 and 4782 = 1
Step 1: Find the prime factorization of 4777
4777 = 17 x 281
Step 2: Find the prime factorization of 4782
4782 = 2 x 3 x 797
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 4777 and 4782 is 1