Greatest Common Factor of 4770 and 4774

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, 4774 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4770 and 4774 is 2.

GCF(4770,4774) = 2

GCF of 4770 and 4774

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

GCF of:
and

Greatest Common Factor of 4770 and 4774

GCF of 4770 and 4774 is 2

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 4774


2 4774
7 2387
11 341
31 31
1

Prime factors of 4774 are 2,7,11,31. Prime factorization of 4774 in exponential form is:

4774 = 21×71×111×311

∴ So by taking common prime factors GCF of 4770 and 4774 is 2

Greatest Common Factor of 4770 and 4774 by matching factors method

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 4774

List of positive integer factors of 4774 that divides 4774 without a remainder.

1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774

Greatest Common Factor

We found the factors and prime factorization of 4770 and 4774. The biggest common factor number is the GCF number.
So the greatest common factor 4770 and 4774 is 2.

Also check out the Least Common Multiple of 4770 and 4774

Properties of GCF 4770 and 4774

(i) The GCF of 4770 and 4774 is associative

GCF of 4770 and 4774 = GCF of 4774 and 4770

Related Greatest Common Factor of 4770

Related Greatest Common Factor of 4774

Frequently Asked Questions on GCF of 4770 and 4774

1. What is the GCF of 4770 and 4774?

Answer: GCF of 4770 and 4774 is 2.

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 4774?

Answer: Factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774. There are 16 integers that are factors of 4774. The greatest factor of 4774 is 4774.

4. How to Find the GCF of 4770 and 4774?

Answer:

Greatest Common Factor of 4770 and 4774 = 2

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 4774

4774 = 2 x 7 x 11 x 31

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4770 and 4774 is 2