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 4770, 4777 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4770 and 4777 is 1.
GCF(4770,4777) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4770
2 | 4770 |
3 | 2385 |
3 | 795 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 4770 are 2,3,5,53. Prime factorization of 4770 in exponential form is:
4770 = 21×32×51×531
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 4770 and 4777 is 1
Factors of 4770
List of positive integer factors of 4770 that divides 4770 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
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 4770 and 4777. The biggest common factor number is the GCF number.
So the greatest common factor 4770 and 4777 is 1.
Also check out the Least Common Multiple of 4770 and 4777
(i) The GCF of 4770 and 4777 is associative
GCF of 4770 and 4777 = GCF of 4777 and 4770
1. What is the GCF of 4770 and 4777?
Answer: GCF of 4770 and 4777 is 1.
2. What are the Factors of 4770?
Answer: Factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770. There are 24 integers that are factors of 4770. The greatest factor of 4770 is 4770.
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 4770 and 4777?
Answer:
Greatest Common Factor of 4770 and 4777 = 1
Step 1: Find the prime factorization of 4770
4770 = 2 x 3 x 3 x 5 x 53
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 4770 and 4777 is 1