Greatest Common Factor of 4775 and 4780

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 4775, 4780 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4775 and 4780 is 5.

GCF(4775,4780) = 5

GCF of 4775 and 4780

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

GCF of:
and

Greatest Common Factor of 4775 and 4780

GCF of 4775 and 4780 is 5

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

Prime Factorization of 4780


2 4780
2 2390
5 1195
239 239
1

Prime factors of 4780 are 2,5,239. Prime factorization of 4780 in exponential form is:

4780 = 22×51×2391

∴ So by taking common prime factors GCF of 4775 and 4780 is 5

Greatest Common Factor of 4775 and 4780 by matching factors method

Factors of 4775

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

1,5,25,191,955,4775

Factors of 4780

List of positive integer factors of 4780 that divides 4780 without a remainder.

1,2,4,5,10,20,239,478,956,1195,2390,4780

Greatest Common Factor

We found the factors and prime factorization of 4775 and 4780. The biggest common factor number is the GCF number.
So the greatest common factor 4775 and 4780 is 5.

Also check out the Least Common Multiple of 4775 and 4780

Properties of GCF 4775 and 4780

(i) The GCF of 4775 and 4780 is associative

GCF of 4775 and 4780 = GCF of 4780 and 4775

Related Greatest Common Factor of 4775

Related Greatest Common Factor of 4780

Frequently Asked Questions on GCF of 4775 and 4780

1. What is the GCF of 4775 and 4780?

Answer: GCF of 4775 and 4780 is 5.

2. 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.

3. What are the Factors of 4780?

Answer: Factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780. There are 12 integers that are factors of 4780. The greatest factor of 4780 is 4780.

4. How to Find the GCF of 4775 and 4780?

Answer:

Greatest Common Factor of 4775 and 4780 = 5

Step 1: Find the prime factorization of 4775

4775 = 5 x 5 x 191

Step 2: Find the prime factorization of 4780

4780 = 2 x 2 x 5 x 239

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 4775 and 4780 is 5