Greatest Common Factor of 4767 and 4770

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, 4770 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4767 and 4770 is 3.

GCF(4767,4770) = 3

GCF of 4767 and 4770

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4767 and 4770

GCF of 4767 and 4770 is 3

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 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

∴ So by taking common prime factors GCF of 4767 and 4770 is 3

Greatest Common Factor of 4767 and 4770 by matching factors method

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 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

Greatest Common Factor

We found the factors and prime factorization of 4767 and 4770. The biggest common factor number is the GCF number.
So the greatest common factor 4767 and 4770 is 3.

Also check out the Least Common Multiple of 4767 and 4770

Properties of GCF 4767 and 4770

(i) The GCF of 4767 and 4770 is associative

GCF of 4767 and 4770 = GCF of 4770 and 4767

Related Greatest Common Factor of 4767

Related Greatest Common Factor of 4770

Frequently Asked Questions on GCF of 4767 and 4770

1. What is the GCF of 4767 and 4770?

Answer: GCF of 4767 and 4770 is 3.

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 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.

4. How to Find the GCF of 4767 and 4770?

Answer:

Greatest Common Factor of 4767 and 4770 = 3

Step 1: Find the prime factorization of 4767

4767 = 3 x 7 x 227

Step 2: Find the prime factorization of 4770

4770 = 2 x 3 x 3 x 5 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 4767 and 4770 is 3