Greatest Common Factor of 4770 and 4775

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, 4775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4770 and 4775 is 5.

GCF(4770,4775) = 5

GCF of 4770 and 4775

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

GCF of:
and

Greatest Common Factor of 4770 and 4775

GCF of 4770 and 4775 is 5

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 4775


5 4775
5 955
191 191
1

Prime factors of 4775 are 5,191. Prime factorization of 4775 in exponential form is:

4775 = 52×1911

∴ So by taking common prime factors GCF of 4770 and 4775 is 5

Greatest Common Factor of 4770 and 4775 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 4775

List of positive integer factors of 4775 that divides 4775 without a remainder.

1,5,25,191,955,4775

Greatest Common Factor

We found the factors and prime factorization of 4770 and 4775. The biggest common factor number is the GCF number.
So the greatest common factor 4770 and 4775 is 5.

Also check out the Least Common Multiple of 4770 and 4775

Properties of GCF 4770 and 4775

(i) The GCF of 4770 and 4775 is associative

GCF of 4770 and 4775 = GCF of 4775 and 4770

Related Greatest Common Factor of 4770

Related Greatest Common Factor of 4775

Frequently Asked Questions on GCF of 4770 and 4775

1. What is the GCF of 4770 and 4775?

Answer: GCF of 4770 and 4775 is 5.

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 4775?

Answer: Factors of 4775 are 1, 5, 25, 191, 955, 4775. There are 6 integers that are factors of 4775. The greatest factor of 4775 is 4775.

4. How to Find the GCF of 4770 and 4775?

Answer:

Greatest Common Factor of 4770 and 4775 = 5

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 4775

4775 = 5 x 5 x 191

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4770 and 4775 is 5