Greatest Common Factor of 4774 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 4774, 4780 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4774 and 4780 is 2.

GCF(4774,4780) = 2

GCF of 4774 and 4780

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

GCF of:
and

Greatest Common Factor of 4774 and 4780

GCF of 4774 and 4780 is 2

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

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 4774 and 4780 is 2

Greatest Common Factor of 4774 and 4780 by matching factors method

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

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 4774 and 4780. The biggest common factor number is the GCF number.
So the greatest common factor 4774 and 4780 is 2.

Also check out the Least Common Multiple of 4774 and 4780

Properties of GCF 4774 and 4780

(i) The GCF of 4774 and 4780 is associative

GCF of 4774 and 4780 = GCF of 4780 and 4774

Related Greatest Common Factor of 4774

Related Greatest Common Factor of 4780

Frequently Asked Questions on GCF of 4774 and 4780

1. What is the GCF of 4774 and 4780?

Answer: GCF of 4774 and 4780 is 2.

2. 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.

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 4774 and 4780?

Answer:

Greatest Common Factor of 4774 and 4780 = 2

Step 1: Find the prime factorization of 4774

4774 = 2 x 7 x 11 x 31

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 = 2

Step 4: Therefore, the greatest common factor of 4774 and 4780 is 2